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Finding the Fourth Proportional to 132.52, 183.81 and 127.66

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Solution

The fourth proportional to 132.52, 183.81 and 127.66 is: 177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.52 : 183.81 = 127.66 : x
  2. Step 2: Convert to fraction form
    132.52/183.81 = 127.66/x
  3. Step 3: Cross multiply
    132.52x = 183.81 × 127.66
  4. Step 4: Simplify right side
    132.52x = 23,465.18
  5. Step 5: Solve for x
    x = 23,465.18/132.52
  6. Step 6: Final answer
    x = 177.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.