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Finding the Fourth Proportional to 497.75, 747.16 and 209.39

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Solution

The fourth proportional to 497.75, 747.16 and 209.39 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 747.16 = 209.39 : x
  2. Step 2: Convert to fraction form
    497.75/747.16 = 209.39/x
  3. Step 3: Cross multiply
    497.75x = 747.16 × 209.39
  4. Step 4: Simplify right side
    497.75x = 156,443.57
  5. Step 5: Solve for x
    x = 156,443.57/497.75
  6. Step 6: Final answer
    x = 314.30

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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.