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Finding the Fourth Proportional to 257.60, 385.97 and 247.61

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Solution

The fourth proportional to 257.60, 385.97 and 247.61 is: 371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 385.97 = 247.61 : x
  2. Step 2: Convert to fraction form
    257.60/385.97 = 247.61/x
  3. Step 3: Cross multiply
    257.60x = 385.97 × 247.61
  4. Step 4: Simplify right side
    257.60x = 95,566.86
  5. Step 5: Solve for x
    x = 95,566.86/257.60
  6. Step 6: Final answer
    x = 371.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.