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Finding the Fourth Proportional to 252.27, 349.91 and 242.55

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Solution

The fourth proportional to 252.27, 349.91 and 242.55 is: 336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.27 : 349.91 = 242.55 : x
  2. Step 2: Convert to fraction form
    252.27/349.91 = 242.55/x
  3. Step 3: Cross multiply
    252.27x = 349.91 × 242.55
  4. Step 4: Simplify right side
    252.27x = 84,869.46
  5. Step 5: Solve for x
    x = 84,869.46/252.27
  6. Step 6: Final answer
    x = 336.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.