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Finding the Fourth Proportional to 132.31, 182.61 and 74.11

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Solution

The fourth proportional to 132.31, 182.61 and 74.11 is: 102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 182.61 = 74.11 : x
  2. Step 2: Convert to fraction form
    132.31/182.61 = 74.11/x
  3. Step 3: Cross multiply
    132.31x = 182.61 × 74.11
  4. Step 4: Simplify right side
    132.31x = 13,532.86
  5. Step 5: Solve for x
    x = 13,532.86/132.31
  6. Step 6: Final answer
    x = 102.28

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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.