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Finding the Fourth Proportional to 252.73, 379.10 and 98.70

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Solution

The fourth proportional to 252.73, 379.10 and 98.70 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.73 : 379.10 = 98.70 : x
  2. Step 2: Convert to fraction form
    252.73/379.10 = 98.70/x
  3. Step 3: Cross multiply
    252.73x = 379.10 × 98.70
  4. Step 4: Simplify right side
    252.73x = 37,417.17
  5. Step 5: Solve for x
    x = 37,417.17/252.73
  6. Step 6: Final answer
    x = 148.05

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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.