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Finding the Fourth Proportional to 132.96, 184.24 and 127.92

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Solution

The fourth proportional to 132.96, 184.24 and 127.92 is: 177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.96 : 184.24 = 127.92 : x
  2. Step 2: Convert to fraction form
    132.96/184.24 = 127.92/x
  3. Step 3: Cross multiply
    132.96x = 184.24 × 127.92
  4. Step 4: Simplify right side
    132.96x = 23,567.98
  5. Step 5: Solve for x
    x = 23,567.98/132.96
  6. Step 6: Final answer
    x = 177.26

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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.