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Finding the Fourth Proportional to 511.93, 768.09 and 255.25

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Solution

The fourth proportional to 511.93, 768.09 and 255.25 is: 382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.93 : 768.09 = 255.25 : x
  2. Step 2: Convert to fraction form
    511.93/768.09 = 255.25/x
  3. Step 3: Cross multiply
    511.93x = 768.09 × 255.25
  4. Step 4: Simplify right side
    511.93x = 196,054.97
  5. Step 5: Solve for x
    x = 196,054.97/511.93
  6. Step 6: Final answer
    x = 382.97

Related Problems

Find fourth proportional to 255.97, 384.05 and 127.63
Half scale
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Double scale
Find fourth proportional to 512.93, 769.59 and 256.25
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.