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Finding the Fourth Proportional to 868.70, 1,302.77 and 252.23

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Solution

The fourth proportional to 868.70, 1,302.77 and 252.23 is: 378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.70 : 1,302.77 = 252.23 : x
  2. Step 2: Convert to fraction form
    868.70/1,302.77 = 252.23/x
  3. Step 3: Cross multiply
    868.70x = 1,302.77 × 252.23
  4. Step 4: Simplify right side
    868.70x = 328,601.56
  5. Step 5: Solve for x
    x = 328,601.56/868.70
  6. Step 6: Final answer
    x = 378.27

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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.