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Finding the Fourth Proportional to 249.33, 342.47 and 242.04

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Solution

The fourth proportional to 249.33, 342.47 and 242.04 is: 332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.33 : 342.47 = 242.04 : x
  2. Step 2: Convert to fraction form
    249.33/342.47 = 242.04/x
  3. Step 3: Cross multiply
    249.33x = 342.47 × 242.04
  4. Step 4: Simplify right side
    249.33x = 82,891.44
  5. Step 5: Solve for x
    x = 82,891.44/249.33
  6. Step 6: Final answer
    x = 332.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.