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Finding the Fourth Proportional to 337.50, 503.18 and 316.85

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Solution

The fourth proportional to 337.50, 503.18 and 316.85 is: 472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.50 : 503.18 = 316.85 : x
  2. Step 2: Convert to fraction form
    337.50/503.18 = 316.85/x
  3. Step 3: Cross multiply
    337.50x = 503.18 × 316.85
  4. Step 4: Simplify right side
    337.50x = 159,429.67
  5. Step 5: Solve for x
    x = 159,429.67/337.50
  6. Step 6: Final answer
    x = 472.38

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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.