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Finding the Fourth Proportional to 868.31, 1,302.26 and 283.16

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Solution

The fourth proportional to 868.31, 1,302.26 and 283.16 is: 424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.31 : 1,302.26 = 283.16 : x
  2. Step 2: Convert to fraction form
    868.31/1,302.26 = 283.16/x
  3. Step 3: Cross multiply
    868.31x = 1,302.26 × 283.16
  4. Step 4: Simplify right side
    868.31x = 368,752.57
  5. Step 5: Solve for x
    x = 368,752.57/868.31
  6. Step 6: Final answer
    x = 424.68

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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.