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Finding the Fourth Proportional to 221.84, 332.84 and 139.76

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Solution

The fourth proportional to 221.84, 332.84 and 139.76 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 332.84 = 139.76 : x
  2. Step 2: Convert to fraction form
    221.84/332.84 = 139.76/x
  3. Step 3: Cross multiply
    221.84x = 332.84 × 139.76
  4. Step 4: Simplify right side
    221.84x = 46,517.72
  5. Step 5: Solve for x
    x = 46,517.72/221.84
  6. Step 6: Final answer
    x = 209.69

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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.