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Finding the Fourth Proportional to 274.71, 378.97 and 158.20

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Solution

The fourth proportional to 274.71, 378.97 and 158.20 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.71 : 378.97 = 158.20 : x
  2. Step 2: Convert to fraction form
    274.71/378.97 = 158.20/x
  3. Step 3: Cross multiply
    274.71x = 378.97 × 158.20
  4. Step 4: Simplify right side
    274.71x = 59,954.29
  5. Step 5: Solve for x
    x = 59,954.29/274.71
  6. Step 6: Final answer
    x = 218.25

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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.