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Finding the Fourth Proportional to 174.62, 261.45 and 135.90

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Solution

The fourth proportional to 174.62, 261.45 and 135.90 is: 203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.62 : 261.45 = 135.90 : x
  2. Step 2: Convert to fraction form
    174.62/261.45 = 135.90/x
  3. Step 3: Cross multiply
    174.62x = 261.45 × 135.90
  4. Step 4: Simplify right side
    174.62x = 35,531.06
  5. Step 5: Solve for x
    x = 35,531.06/174.62
  6. Step 6: Final answer
    x = 203.48

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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.