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Finding the Fourth Proportional to 249.96, 369.84 and 249.24

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Solution

The fourth proportional to 249.96, 369.84 and 249.24 is: 368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.96 : 369.84 = 249.24 : x
  2. Step 2: Convert to fraction form
    249.96/369.84 = 249.24/x
  3. Step 3: Cross multiply
    249.96x = 369.84 × 249.24
  4. Step 4: Simplify right side
    249.96x = 92,178.92
  5. Step 5: Solve for x
    x = 92,178.92/249.96
  6. Step 6: Final answer
    x = 368.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.