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Finding the Fourth Proportional to 892.18, 1,338.46 and 275.90

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Solution

The fourth proportional to 892.18, 1,338.46 and 275.90 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.18 : 1,338.46 = 275.90 : x
  2. Step 2: Convert to fraction form
    892.18/1,338.46 = 275.90/x
  3. Step 3: Cross multiply
    892.18x = 1,338.46 × 275.90
  4. Step 4: Simplify right side
    892.18x = 369,281.11
  5. Step 5: Solve for x
    x = 369,281.11/892.18
  6. Step 6: Final answer
    x = 413.91

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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.