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Finding the Fourth Proportional to 148.08, 221.98 and 83.91

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Solution

The fourth proportional to 148.08, 221.98 and 83.91 is: 125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.08 : 221.98 = 83.91 : x
  2. Step 2: Convert to fraction form
    148.08/221.98 = 83.91/x
  3. Step 3: Cross multiply
    148.08x = 221.98 × 83.91
  4. Step 4: Simplify right side
    148.08x = 18,625.46
  5. Step 5: Solve for x
    x = 18,625.46/148.08
  6. Step 6: Final answer
    x = 125.78

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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.