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Finding the Fourth Proportional to 248.49, 372.31 and 161.78

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Solution

The fourth proportional to 248.49, 372.31 and 161.78 is: 242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.49 : 372.31 = 161.78 : x
  2. Step 2: Convert to fraction form
    248.49/372.31 = 161.78/x
  3. Step 3: Cross multiply
    248.49x = 372.31 × 161.78
  4. Step 4: Simplify right side
    248.49x = 60,230.05
  5. Step 5: Solve for x
    x = 60,230.05/248.49
  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.