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Finding the Fourth Proportional to 851.97, 1,278.05 and 266.88

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Solution

The fourth proportional to 851.97, 1,278.05 and 266.88 is: 400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.97 : 1,278.05 = 266.88 : x
  2. Step 2: Convert to fraction form
    851.97/1,278.05 = 266.88/x
  3. Step 3: Cross multiply
    851.97x = 1,278.05 × 266.88
  4. Step 4: Simplify right side
    851.97x = 341,084.65
  5. Step 5: Solve for x
    x = 341,084.65/851.97
  6. Step 6: Final answer
    x = 400.35

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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.