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Finding the Fourth Proportional to 257.60, 384.23 and 249.91

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Solution

The fourth proportional to 257.60, 384.23 and 249.91 is: 372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 384.23 = 249.91 : x
  2. Step 2: Convert to fraction form
    257.60/384.23 = 249.91/x
  3. Step 3: Cross multiply
    257.60x = 384.23 × 249.91
  4. Step 4: Simplify right side
    257.60x = 96,022.58
  5. Step 5: Solve for x
    x = 96,022.58/257.60
  6. Step 6: Final answer
    x = 372.75

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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.