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Finding the Fourth Proportional to 834.01, 1,251.03 and 256.89

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Solution

The fourth proportional to 834.01, 1,251.03 and 256.89 is: 385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.01 : 1,251.03 = 256.89 : x
  2. Step 2: Convert to fraction form
    834.01/1,251.03 = 256.89/x
  3. Step 3: Cross multiply
    834.01x = 1,251.03 × 256.89
  4. Step 4: Simplify right side
    834.01x = 321,377.10
  5. Step 5: Solve for x
    x = 321,377.10/834.01
  6. Step 6: Final answer
    x = 385.34

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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.