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Finding the Fourth Proportional to 89.36, 133.12 and 86.24

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Solution

The fourth proportional to 89.36, 133.12 and 86.24 is: 128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.36 : 133.12 = 86.24 : x
  2. Step 2: Convert to fraction form
    89.36/133.12 = 86.24/x
  3. Step 3: Cross multiply
    89.36x = 133.12 × 86.24
  4. Step 4: Simplify right side
    89.36x = 11,480.27
  5. Step 5: Solve for x
    x = 11,480.27/89.36
  6. Step 6: Final answer
    x = 128.47

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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.