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Finding the Fourth Proportional to 132.57, 182.97 and 128.07

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Solution

The fourth proportional to 132.57, 182.97 and 128.07 is: 176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.57 : 182.97 = 128.07 : x
  2. Step 2: Convert to fraction form
    132.57/182.97 = 128.07/x
  3. Step 3: Cross multiply
    132.57x = 182.97 × 128.07
  4. Step 4: Simplify right side
    132.57x = 23,432.97
  5. Step 5: Solve for x
    x = 23,432.97/132.57
  6. Step 6: Final answer
    x = 176.76

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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.