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Finding the Fourth Proportional to 174.54, 261.89 and 116.78

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Solution

The fourth proportional to 174.54, 261.89 and 116.78 is: 175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.54 : 261.89 = 116.78 : x
  2. Step 2: Convert to fraction form
    174.54/261.89 = 116.78/x
  3. Step 3: Cross multiply
    174.54x = 261.89 × 116.78
  4. Step 4: Simplify right side
    174.54x = 30,581.62
  5. Step 5: Solve for x
    x = 30,581.62/174.54
  6. Step 6: Final answer
    x = 175.21

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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.