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Finding the Fourth Proportional to 337.69, 465.96 and 197.78

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Solution

The fourth proportional to 337.69, 465.96 and 197.78 is: 272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 465.96 = 197.78 : x
  2. Step 2: Convert to fraction form
    337.69/465.96 = 197.78/x
  3. Step 3: Cross multiply
    337.69x = 465.96 × 197.78
  4. Step 4: Simplify right side
    337.69x = 92,156.90
  5. Step 5: Solve for x
    x = 92,156.90/337.69
  6. Step 6: Final answer
    x = 272.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.