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Finding the Fourth Proportional to 88.64, 132.63 and 86

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Solution

The fourth proportional to 88.64, 132.63 and 86 is: 128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.64 : 132.63 = 86 : x
  2. Step 2: Convert to fraction form
    88.64/132.63 = 86/x
  3. Step 3: Cross multiply
    88.64x = 132.63 × 86
  4. Step 4: Simplify right side
    88.64x = 11,406.18
  5. Step 5: Solve for x
    x = 11,406.18/88.64
  6. Step 6: Final answer
    x = 128.68

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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.