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Finding the Fourth Proportional to 778.11, 1,167.20 and 258.16

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Solution

The fourth proportional to 778.11, 1,167.20 and 258.16 is: 387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.11 : 1,167.20 = 258.16 : x
  2. Step 2: Convert to fraction form
    778.11/1,167.20 = 258.16/x
  3. Step 3: Cross multiply
    778.11x = 1,167.20 × 258.16
  4. Step 4: Simplify right side
    778.11x = 301,324.03
  5. Step 5: Solve for x
    x = 301,324.03/778.11
  6. Step 6: Final answer
    x = 387.25

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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.