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Finding the Fourth Proportional to 512.15, 766.33 and 306.86

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Solution

The fourth proportional to 512.15, 766.33 and 306.86 is: 459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.15 : 766.33 = 306.86 : x
  2. Step 2: Convert to fraction form
    512.15/766.33 = 306.86/x
  3. Step 3: Cross multiply
    512.15x = 766.33 × 306.86
  4. Step 4: Simplify right side
    512.15x = 235,151.43
  5. Step 5: Solve for x
    x = 235,151.43/512.15
  6. Step 6: Final answer
    x = 459.15

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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.