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Finding the Fourth Proportional to 778.18, 1,167.17 and 230.35

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Solution

The fourth proportional to 778.18, 1,167.17 and 230.35 is: 345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.18 : 1,167.17 = 230.35 : x
  2. Step 2: Convert to fraction form
    778.18/1,167.17 = 230.35/x
  3. Step 3: Cross multiply
    778.18x = 1,167.17 × 230.35
  4. Step 4: Simplify right side
    778.18x = 268,857.61
  5. Step 5: Solve for x
    x = 268,857.61/778.18
  6. Step 6: Final answer
    x = 345.50

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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.