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Finding the Fourth Proportional to 337.28, 503.68 and 294.08

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Solution

The fourth proportional to 337.28, 503.68 and 294.08 is: 439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.28 : 503.68 = 294.08 : x
  2. Step 2: Convert to fraction form
    337.28/503.68 = 294.08/x
  3. Step 3: Cross multiply
    337.28x = 503.68 × 294.08
  4. Step 4: Simplify right side
    337.28x = 148,122.21
  5. Step 5: Solve for x
    x = 148,122.21/337.28
  6. Step 6: Final answer
    x = 439.17

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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.