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Finding the Fourth Proportional to 89.16, 133.02 and 86.68

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Solution

The fourth proportional to 89.16, 133.02 and 86.68 is: 129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.16 : 133.02 = 86.68 : x
  2. Step 2: Convert to fraction form
    89.16/133.02 = 86.68/x
  3. Step 3: Cross multiply
    89.16x = 133.02 × 86.68
  4. Step 4: Simplify right side
    89.16x = 11,530.59
  5. Step 5: Solve for x
    x = 11,530.59/89.16
  6. Step 6: Final answer
    x = 129.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.