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Finding the Fourth Proportional to 337.12, 503.16 and 328.92

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Solution

The fourth proportional to 337.12, 503.16 and 328.92 is: 490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.12 : 503.16 = 328.92 : x
  2. Step 2: Convert to fraction form
    337.12/503.16 = 328.92/x
  3. Step 3: Cross multiply
    337.12x = 503.16 × 328.92
  4. Step 4: Simplify right side
    337.12x = 165,500.21
  5. Step 5: Solve for x
    x = 165,500.21/337.12
  6. Step 6: Final answer
    x = 490.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.