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Finding the Fourth Proportional to 221.43, 332.21 and 140.16

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Solution

The fourth proportional to 221.43, 332.21 and 140.16 is: 210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.43 : 332.21 = 140.16 : x
  2. Step 2: Convert to fraction form
    221.43/332.21 = 140.16/x
  3. Step 3: Cross multiply
    221.43x = 332.21 × 140.16
  4. Step 4: Simplify right side
    221.43x = 46,562.55
  5. Step 5: Solve for x
    x = 46,562.55/221.43
  6. Step 6: Final answer
    x = 210.28

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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.