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Finding the Fourth Proportional to 249.19, 372.31 and 195.12

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Solution

The fourth proportional to 249.19, 372.31 and 195.12 is: 291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.19 : 372.31 = 195.12 : x
  2. Step 2: Convert to fraction form
    249.19/372.31 = 195.12/x
  3. Step 3: Cross multiply
    249.19x = 372.31 × 195.12
  4. Step 4: Simplify right side
    249.19x = 72,645.13
  5. Step 5: Solve for x
    x = 72,645.13/249.19
  6. Step 6: Final answer
    x = 291.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.