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Finding the Fourth Proportional to 221.64, 332.28 and 99.84

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Solution

The fourth proportional to 221.64, 332.28 and 99.84 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.64 : 332.28 = 99.84 : x
  2. Step 2: Convert to fraction form
    221.64/332.28 = 99.84/x
  3. Step 3: Cross multiply
    221.64x = 332.28 × 99.84
  4. Step 4: Simplify right side
    221.64x = 33,174.84
  5. Step 5: Solve for x
    x = 33,174.84/221.64
  6. Step 6: Final answer
    x = 149.68

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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.