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Finding the Fourth Proportional to 874.22, 1,311.41 and 257.93

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Solution

The fourth proportional to 874.22, 1,311.41 and 257.93 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.22 : 1,311.41 = 257.93 : x
  2. Step 2: Convert to fraction form
    874.22/1,311.41 = 257.93/x
  3. Step 3: Cross multiply
    874.22x = 1,311.41 × 257.93
  4. Step 4: Simplify right side
    874.22x = 338,244.13
  5. Step 5: Solve for x
    x = 338,244.13/874.22
  6. Step 6: Final answer
    x = 386.91

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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.