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Finding the Fourth Proportional to 89.24, 133.21 and 86

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Solution

The fourth proportional to 89.24, 133.21 and 86 is: 128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.24 : 133.21 = 86 : x
  2. Step 2: Convert to fraction form
    89.24/133.21 = 86/x
  3. Step 3: Cross multiply
    89.24x = 133.21 × 86
  4. Step 4: Simplify right side
    89.24x = 11,456.06
  5. Step 5: Solve for x
    x = 11,456.06/89.24
  6. Step 6: Final answer
    x = 128.37

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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.