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Finding the Fourth Proportional to 174.32, 240.38 and 132.88

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Solution

The fourth proportional to 174.32, 240.38 and 132.88 is: 183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.32 : 240.38 = 132.88 : x
  2. Step 2: Convert to fraction form
    174.32/240.38 = 132.88/x
  3. Step 3: Cross multiply
    174.32x = 240.38 × 132.88
  4. Step 4: Simplify right side
    174.32x = 31,941.69
  5. Step 5: Solve for x
    x = 31,941.69/174.32
  6. Step 6: Final answer
    x = 183.24

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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.