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Finding the Fourth Proportional to 252.87, 349.24 and 221.43

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Solution

The fourth proportional to 252.87, 349.24 and 221.43 is: 305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.87 : 349.24 = 221.43 : x
  2. Step 2: Convert to fraction form
    252.87/349.24 = 221.43/x
  3. Step 3: Cross multiply
    252.87x = 349.24 × 221.43
  4. Step 4: Simplify right side
    252.87x = 77,332.76
  5. Step 5: Solve for x
    x = 77,332.76/252.87
  6. Step 6: Final answer
    x = 305.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.