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Finding the Fourth Proportional to 257.37, 387.67 and 254.17

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Solution

The fourth proportional to 257.37, 387.67 and 254.17 is: 382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.37 : 387.67 = 254.17 : x
  2. Step 2: Convert to fraction form
    257.37/387.67 = 254.17/x
  3. Step 3: Cross multiply
    257.37x = 387.67 × 254.17
  4. Step 4: Simplify right side
    257.37x = 98,534.08
  5. Step 5: Solve for x
    x = 98,534.08/257.37
  6. Step 6: Final answer
    x = 382.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.