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Finding the Fourth Proportional to 337.39, 503.46 and 306.71

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Solution

The fourth proportional to 337.39, 503.46 and 306.71 is: 457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.39 : 503.46 = 306.71 : x
  2. Step 2: Convert to fraction form
    337.39/503.46 = 306.71/x
  3. Step 3: Cross multiply
    337.39x = 503.46 × 306.71
  4. Step 4: Simplify right side
    337.39x = 154,416.22
  5. Step 5: Solve for x
    x = 154,416.22/337.39
  6. Step 6: Final answer
    x = 457.68

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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.