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Finding the Fourth Proportional to 249.16, 371.86 and 242.68

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Solution

The fourth proportional to 249.16, 371.86 and 242.68 is: 362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.16 : 371.86 = 242.68 : x
  2. Step 2: Convert to fraction form
    249.16/371.86 = 242.68/x
  3. Step 3: Cross multiply
    249.16x = 371.86 × 242.68
  4. Step 4: Simplify right side
    249.16x = 90,242.98
  5. Step 5: Solve for x
    x = 90,242.98/249.16
  6. Step 6: Final answer
    x = 362.19

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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.