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Finding the Fourth Proportional to 249.68, 342.40 and 247.76

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Solution

The fourth proportional to 249.68, 342.40 and 247.76 is: 339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.68 : 342.40 = 247.76 : x
  2. Step 2: Convert to fraction form
    249.68/342.40 = 247.76/x
  3. Step 3: Cross multiply
    249.68x = 342.40 × 247.76
  4. Step 4: Simplify right side
    249.68x = 84,833.02
  5. Step 5: Solve for x
    x = 84,833.02/249.68
  6. Step 6: Final answer
    x = 339.77

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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.