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Finding the Fourth Proportional to 252.88, 349.04 and 149.38

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Solution

The fourth proportional to 252.88, 349.04 and 149.38 is: 206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.88 : 349.04 = 149.38 : x
  2. Step 2: Convert to fraction form
    252.88/349.04 = 149.38/x
  3. Step 3: Cross multiply
    252.88x = 349.04 × 149.38
  4. Step 4: Simplify right side
    252.88x = 52,139.60
  5. Step 5: Solve for x
    x = 52,139.60/252.88
  6. Step 6: Final answer
    x = 206.18

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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.