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Finding the Fourth Proportional to 252.49, 378.82 and 106.31

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Solution

The fourth proportional to 252.49, 378.82 and 106.31 is: 159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.49 : 378.82 = 106.31 : x
  2. Step 2: Convert to fraction form
    252.49/378.82 = 106.31/x
  3. Step 3: Cross multiply
    252.49x = 378.82 × 106.31
  4. Step 4: Simplify right side
    252.49x = 40,271.14
  5. Step 5: Solve for x
    x = 40,271.14/252.49
  6. Step 6: Final answer
    x = 159.50

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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.