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Finding the Fourth Proportional to 834.18, 1,251.60 and 257.10

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Solution

The fourth proportional to 834.18, 1,251.60 and 257.10 is: 385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.18 : 1,251.60 = 257.10 : x
  2. Step 2: Convert to fraction form
    834.18/1,251.60 = 257.10/x
  3. Step 3: Cross multiply
    834.18x = 1,251.60 × 257.10
  4. Step 4: Simplify right side
    834.18x = 321,786.36
  5. Step 5: Solve for x
    x = 321,786.36/834.18
  6. Step 6: Final answer
    x = 385.75

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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.