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Finding the Fourth Proportional to 249.54, 374.74 and 187.86

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Solution

The fourth proportional to 249.54, 374.74 and 187.86 is: 282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.54 : 374.74 = 187.86 : x
  2. Step 2: Convert to fraction form
    249.54/374.74 = 187.86/x
  3. Step 3: Cross multiply
    249.54x = 374.74 × 187.86
  4. Step 4: Simplify right side
    249.54x = 70,398.66
  5. Step 5: Solve for x
    x = 70,398.66/249.54
  6. Step 6: Final answer
    x = 282.11

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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.