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Finding the Fourth Proportional to 174.14, 261.02 and 71.38

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Solution

The fourth proportional to 174.14, 261.02 and 71.38 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.14 : 261.02 = 71.38 : x
  2. Step 2: Convert to fraction form
    174.14/261.02 = 71.38/x
  3. Step 3: Cross multiply
    174.14x = 261.02 × 71.38
  4. Step 4: Simplify right side
    174.14x = 18,631.61
  5. Step 5: Solve for x
    x = 18,631.61/174.14
  6. Step 6: Final answer
    x = 106.99

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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.