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Finding the Fourth Proportional to 252.52, 348.50 and 149

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Solution

The fourth proportional to 252.52, 348.50 and 149 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.52 : 348.50 = 149 : x
  2. Step 2: Convert to fraction form
    252.52/348.50 = 149/x
  3. Step 3: Cross multiply
    252.52x = 348.50 × 149
  4. Step 4: Simplify right side
    252.52x = 51,926.50
  5. Step 5: Solve for x
    x = 51,926.50/252.52
  6. Step 6: Final answer
    x = 205.63

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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.