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Finding the Fourth Proportional to 274.20, 378.42 and 157.80

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Solution

The fourth proportional to 274.20, 378.42 and 157.80 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 378.42 = 157.80 : x
  2. Step 2: Convert to fraction form
    274.20/378.42 = 157.80/x
  3. Step 3: Cross multiply
    274.20x = 378.42 × 157.80
  4. Step 4: Simplify right side
    274.20x = 59,714.68
  5. Step 5: Solve for x
    x = 59,714.68/274.20
  6. Step 6: Final answer
    x = 217.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.