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Finding the Fourth Proportional to 911.42, 1,367.18 and 295.18

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Solution

The fourth proportional to 911.42, 1,367.18 and 295.18 is: 442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.42 : 1,367.18 = 295.18 : x
  2. Step 2: Convert to fraction form
    911.42/1,367.18 = 295.18/x
  3. Step 3: Cross multiply
    911.42x = 1,367.18 × 295.18
  4. Step 4: Simplify right side
    911.42x = 403,560.41
  5. Step 5: Solve for x
    x = 403,560.41/911.42
  6. Step 6: Final answer
    x = 442.78

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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.