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Finding the Fourth Proportional to 174.47, 261.66 and 71.78

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Solution

The fourth proportional to 174.47, 261.66 and 71.78 is: 107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.47 : 261.66 = 71.78 : x
  2. Step 2: Convert to fraction form
    174.47/261.66 = 71.78/x
  3. Step 3: Cross multiply
    174.47x = 261.66 × 71.78
  4. Step 4: Simplify right side
    174.47x = 18,781.95
  5. Step 5: Solve for x
    x = 18,781.95/174.47
  6. Step 6: Final answer
    x = 107.65

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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.