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Finding the Fourth Proportional to 511.42, 766.17 and 255.10

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Solution

The fourth proportional to 511.42, 766.17 and 255.10 is: 382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.42 : 766.17 = 255.10 : x
  2. Step 2: Convert to fraction form
    511.42/766.17 = 255.10/x
  3. Step 3: Cross multiply
    511.42x = 766.17 × 255.10
  4. Step 4: Simplify right side
    511.42x = 195,449.97
  5. Step 5: Solve for x
    x = 195,449.97/511.42
  6. Step 6: Final answer
    x = 382.17

Related Problems

Find fourth proportional to 255.71, 383.09 and 127.55
Half scale
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Double scale
Find fourth proportional to 512.42, 767.67 and 256.10
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.