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Finding the Fourth Proportional to 337.92, 509.11 and 306.69

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Solution

The fourth proportional to 337.92, 509.11 and 306.69 is: 462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 509.11 = 306.69 : x
  2. Step 2: Convert to fraction form
    337.92/509.11 = 306.69/x
  3. Step 3: Cross multiply
    337.92x = 509.11 × 306.69
  4. Step 4: Simplify right side
    337.92x = 156,137.13
  5. Step 5: Solve for x
    x = 156,137.13/337.92
  6. Step 6: Final answer
    x = 462.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.