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Finding the Fourth Proportional to 221.43, 332.34 and 144.43

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Solution

The fourth proportional to 221.43, 332.34 and 144.43 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.43 : 332.34 = 144.43 : x
  2. Step 2: Convert to fraction form
    221.43/332.34 = 144.43/x
  3. Step 3: Cross multiply
    221.43x = 332.34 × 144.43
  4. Step 4: Simplify right side
    221.43x = 47,999.87
  5. Step 5: Solve for x
    x = 47,999.87/221.43
  6. Step 6: Final answer
    x = 216.77

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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.