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Finding the Fourth Proportional to 89.62, 134.43 and 31.83

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Solution

The fourth proportional to 89.62, 134.43 and 31.83 is: 47.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.62 : 134.43 = 31.83 : x
  2. Step 2: Convert to fraction form
    89.62/134.43 = 31.83/x
  3. Step 3: Cross multiply
    89.62x = 134.43 × 31.83
  4. Step 4: Simplify right side
    89.62x = 4,278.08
  5. Step 5: Solve for x
    x = 4,278.08/89.62
  6. Step 6: Final answer
    x = 47.74

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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.