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Finding the Fourth Proportional to 778.06, 1,167.10 and 230.22

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Solution

The fourth proportional to 778.06, 1,167.10 and 230.22 is: 345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.06 : 1,167.10 = 230.22 : x
  2. Step 2: Convert to fraction form
    778.06/1,167.10 = 230.22/x
  3. Step 3: Cross multiply
    778.06x = 1,167.10 × 230.22
  4. Step 4: Simplify right side
    778.06x = 268,689.76
  5. Step 5: Solve for x
    x = 268,689.76/778.06
  6. Step 6: Final answer
    x = 345.33

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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.