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Finding the Fourth Proportional to 88.32, 132.72 and 77.76

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Solution

The fourth proportional to 88.32, 132.72 and 77.76 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.32 : 132.72 = 77.76 : x
  2. Step 2: Convert to fraction form
    88.32/132.72 = 77.76/x
  3. Step 3: Cross multiply
    88.32x = 132.72 × 77.76
  4. Step 4: Simplify right side
    88.32x = 10,320.31
  5. Step 5: Solve for x
    x = 10,320.31/88.32
  6. Step 6: Final answer
    x = 116.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.