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Finding the Fourth Proportional to 221.03, 331.20 and 147.83

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Solution

The fourth proportional to 221.03, 331.20 and 147.83 is: 221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.03 : 331.20 = 147.83 : x
  2. Step 2: Convert to fraction form
    221.03/331.20 = 147.83/x
  3. Step 3: Cross multiply
    221.03x = 331.20 × 147.83
  4. Step 4: Simplify right side
    221.03x = 48,961.30
  5. Step 5: Solve for x
    x = 48,961.30/221.03
  6. Step 6: Final answer
    x = 221.51

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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.