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Finding the Fourth Proportional to 88.32, 132.88 and 82.16

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Solution

The fourth proportional to 88.32, 132.88 and 82.16 is: 123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.32 : 132.88 = 82.16 : x
  2. Step 2: Convert to fraction form
    88.32/132.88 = 82.16/x
  3. Step 3: Cross multiply
    88.32x = 132.88 × 82.16
  4. Step 4: Simplify right side
    88.32x = 10,917.42
  5. Step 5: Solve for x
    x = 10,917.42/88.32
  6. Step 6: Final answer
    x = 123.61

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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.