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Finding the Fourth Proportional to 257.46, 384 and 249.76

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Solution

The fourth proportional to 257.46, 384 and 249.76 is: 372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.46 : 384 = 249.76 : x
  2. Step 2: Convert to fraction form
    257.46/384 = 249.76/x
  3. Step 3: Cross multiply
    257.46x = 384 × 249.76
  4. Step 4: Simplify right side
    257.46x = 95,907.84
  5. Step 5: Solve for x
    x = 95,907.84/257.46
  6. Step 6: Final answer
    x = 372.52

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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.