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Finding the Fourth Proportional to 252.13, 349.63 and 243.94

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Solution

The fourth proportional to 252.13, 349.63 and 243.94 is: 338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.13 : 349.63 = 243.94 : x
  2. Step 2: Convert to fraction form
    252.13/349.63 = 243.94/x
  3. Step 3: Cross multiply
    252.13x = 349.63 × 243.94
  4. Step 4: Simplify right side
    252.13x = 85,288.74
  5. Step 5: Solve for x
    x = 85,288.74/252.13
  6. Step 6: Final answer
    x = 338.27

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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.