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Finding the Fourth Proportional to 89.17, 133.65 and 42.86

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Solution

The fourth proportional to 89.17, 133.65 and 42.86 is: 64.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.17 : 133.65 = 42.86 : x
  2. Step 2: Convert to fraction form
    89.17/133.65 = 42.86/x
  3. Step 3: Cross multiply
    89.17x = 133.65 × 42.86
  4. Step 4: Simplify right side
    89.17x = 5,728.57
  5. Step 5: Solve for x
    x = 5,728.57/89.17
  6. Step 6: Final answer
    x = 64.25

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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.