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Finding the Fourth Proportional to 252.94, 379.15 and 161.70

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Solution

The fourth proportional to 252.94, 379.15 and 161.70 is: 242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.94 : 379.15 = 161.70 : x
  2. Step 2: Convert to fraction form
    252.94/379.15 = 161.70/x
  3. Step 3: Cross multiply
    252.94x = 379.15 × 161.70
  4. Step 4: Simplify right side
    252.94x = 61,306.73
  5. Step 5: Solve for x
    x = 61,306.73/252.94
  6. Step 6: Final answer
    x = 242.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.