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Finding the Fourth Proportional to 874.31, 1,311.15 and 257.86

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Solution

The fourth proportional to 874.31, 1,311.15 and 257.86 is: 386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.31 : 1,311.15 = 257.86 : x
  2. Step 2: Convert to fraction form
    874.31/1,311.15 = 257.86/x
  3. Step 3: Cross multiply
    874.31x = 1,311.15 × 257.86
  4. Step 4: Simplify right side
    874.31x = 338,093.14
  5. Step 5: Solve for x
    x = 338,093.14/874.31
  6. Step 6: Final answer
    x = 386.70

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Why These Related Problems?

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