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Finding the Fourth Proportional to 221.72, 332.69 and 148.41

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Solution

The fourth proportional to 221.72, 332.69 and 148.41 is: 222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.72 : 332.69 = 148.41 : x
  2. Step 2: Convert to fraction form
    221.72/332.69 = 148.41/x
  3. Step 3: Cross multiply
    221.72x = 332.69 × 148.41
  4. Step 4: Simplify right side
    221.72x = 49,373.78
  5. Step 5: Solve for x
    x = 49,373.78/221.72
  6. Step 6: Final answer
    x = 222.69

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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.