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Finding the Fourth Proportional to 498.49, 747.78 and 209.95

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Solution

The fourth proportional to 498.49, 747.78 and 209.95 is: 314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.49 : 747.78 = 209.95 : x
  2. Step 2: Convert to fraction form
    498.49/747.78 = 209.95/x
  3. Step 3: Cross multiply
    498.49x = 747.78 × 209.95
  4. Step 4: Simplify right side
    498.49x = 156,996.41
  5. Step 5: Solve for x
    x = 156,996.41/498.49
  6. Step 6: Final answer
    x = 314.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.