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Finding the Fourth Proportional to 274.23, 378.42 and 154.59

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Solution

The fourth proportional to 274.23, 378.42 and 154.59 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.23 : 378.42 = 154.59 : x
  2. Step 2: Convert to fraction form
    274.23/378.42 = 154.59/x
  3. Step 3: Cross multiply
    274.23x = 378.42 × 154.59
  4. Step 4: Simplify right side
    274.23x = 58,499.95
  5. Step 5: Solve for x
    x = 58,499.95/274.23
  6. Step 6: Final answer
    x = 213.32

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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.