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Finding the Fourth Proportional to 274.80, 378.92 and 187.52

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Solution

The fourth proportional to 274.80, 378.92 and 187.52 is: 258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.80 : 378.92 = 187.52 : x
  2. Step 2: Convert to fraction form
    274.80/378.92 = 187.52/x
  3. Step 3: Cross multiply
    274.80x = 378.92 × 187.52
  4. Step 4: Simplify right side
    274.80x = 71,055.08
  5. Step 5: Solve for x
    x = 71,055.08/274.80
  6. Step 6: Final answer
    x = 258.57

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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.