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Finding the Fourth Proportional to 911.27, 1,366.61 and 294.85

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Solution

The fourth proportional to 911.27, 1,366.61 and 294.85 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.27 : 1,366.61 = 294.85 : x
  2. Step 2: Convert to fraction form
    911.27/1,366.61 = 294.85/x
  3. Step 3: Cross multiply
    911.27x = 1,366.61 × 294.85
  4. Step 4: Simplify right side
    911.27x = 402,938.13
  5. Step 5: Solve for x
    x = 402,938.13/911.27
  6. Step 6: Final answer
    x = 442.17

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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.