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Finding the Fourth Proportional to 337.60, 503.33 and 318.16

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Solution

The fourth proportional to 337.60, 503.33 and 318.16 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.60 : 503.33 = 318.16 : x
  2. Step 2: Convert to fraction form
    337.60/503.33 = 318.16/x
  3. Step 3: Cross multiply
    337.60x = 503.33 × 318.16
  4. Step 4: Simplify right side
    337.60x = 160,139.47
  5. Step 5: Solve for x
    x = 160,139.47/337.60
  6. Step 6: Final answer
    x = 474.35

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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.