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Finding the Fourth Proportional to 249.89, 343.61 and 242.20

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Solution

The fourth proportional to 249.89, 343.61 and 242.20 is: 333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.89 : 343.61 = 242.20 : x
  2. Step 2: Convert to fraction form
    249.89/343.61 = 242.20/x
  3. Step 3: Cross multiply
    249.89x = 343.61 × 242.20
  4. Step 4: Simplify right side
    249.89x = 83,222.34
  5. Step 5: Solve for x
    x = 83,222.34/249.89
  6. Step 6: Final answer
    x = 333.04

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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.