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Finding the Fourth Proportional to 257.02, 382.86 and 249.86

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Solution

The fourth proportional to 257.02, 382.86 and 249.86 is: 372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.02 : 382.86 = 249.86 : x
  2. Step 2: Convert to fraction form
    257.02/382.86 = 249.86/x
  3. Step 3: Cross multiply
    257.02x = 382.86 × 249.86
  4. Step 4: Simplify right side
    257.02x = 95,661.40
  5. Step 5: Solve for x
    x = 95,661.40/257.02
  6. Step 6: Final answer
    x = 372.19

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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.