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Finding the Fourth Proportional to 861.16, 1,291.72 and 276.14

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Solution

The fourth proportional to 861.16, 1,291.72 and 276.14 is: 414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.16 : 1,291.72 = 276.14 : x
  2. Step 2: Convert to fraction form
    861.16/1,291.72 = 276.14/x
  3. Step 3: Cross multiply
    861.16x = 1,291.72 × 276.14
  4. Step 4: Simplify right side
    861.16x = 356,695.56
  5. Step 5: Solve for x
    x = 356,695.56/861.16
  6. Step 6: Final answer
    x = 414.20

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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.