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Finding the Fourth Proportional to 511.96, 769.38 and 255.64

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Solution

The fourth proportional to 511.96, 769.38 and 255.64 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.96 : 769.38 = 255.64 : x
  2. Step 2: Convert to fraction form
    511.96/769.38 = 255.64/x
  3. Step 3: Cross multiply
    511.96x = 769.38 × 255.64
  4. Step 4: Simplify right side
    511.96x = 196,684.30
  5. Step 5: Solve for x
    x = 196,684.30/511.96
  6. Step 6: Final answer
    x = 384.18

Related Problems

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Double scale
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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.