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Finding the Fourth Proportional to 511.10, 766.07 and 202.86

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Solution

The fourth proportional to 511.10, 766.07 and 202.86 is: 304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 766.07 = 202.86 : x
  2. Step 2: Convert to fraction form
    511.10/766.07 = 202.86/x
  3. Step 3: Cross multiply
    511.10x = 766.07 × 202.86
  4. Step 4: Simplify right side
    511.10x = 155,404.96
  5. Step 5: Solve for x
    x = 155,404.96/511.10
  6. Step 6: Final answer
    x = 304.06

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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.