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Finding the Fourth Proportional to 249.13, 372.79 and 146.47

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Solution

The fourth proportional to 249.13, 372.79 and 146.47 is: 219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.13 : 372.79 = 146.47 : x
  2. Step 2: Convert to fraction form
    249.13/372.79 = 146.47/x
  3. Step 3: Cross multiply
    249.13x = 372.79 × 146.47
  4. Step 4: Simplify right side
    249.13x = 54,600.32
  5. Step 5: Solve for x
    x = 54,600.32/249.13
  6. Step 6: Final answer
    x = 219.16

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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.