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Finding the Fourth Proportional to 252.76, 379.06 and 98.71

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Solution

The fourth proportional to 252.76, 379.06 and 98.71 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.76 : 379.06 = 98.71 : x
  2. Step 2: Convert to fraction form
    252.76/379.06 = 98.71/x
  3. Step 3: Cross multiply
    252.76x = 379.06 × 98.71
  4. Step 4: Simplify right side
    252.76x = 37,417.01
  5. Step 5: Solve for x
    x = 37,417.01/252.76
  6. Step 6: Final answer
    x = 148.03

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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.