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Finding the Fourth Proportional to 870.67, 1,306.21 and 254.43

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Solution

The fourth proportional to 870.67, 1,306.21 and 254.43 is: 381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.67 : 1,306.21 = 254.43 : x
  2. Step 2: Convert to fraction form
    870.67/1,306.21 = 254.43/x
  3. Step 3: Cross multiply
    870.67x = 1,306.21 × 254.43
  4. Step 4: Simplify right side
    870.67x = 332,338.37
  5. Step 5: Solve for x
    x = 332,338.37/870.67
  6. Step 6: Final answer
    x = 381.71

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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.