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Finding the Fourth Proportional to 868.38, 1,302.12 and 283.00

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Solution

The fourth proportional to 868.38, 1,302.12 and 283.00 is: 424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.38 : 1,302.12 = 283.00 : x
  2. Step 2: Convert to fraction form
    868.38/1,302.12 = 283.00/x
  3. Step 3: Cross multiply
    868.38x = 1,302.12 × 283.00
  4. Step 4: Simplify right side
    868.38x = 368,505.27
  5. Step 5: Solve for x
    x = 368,505.27/868.38
  6. Step 6: Final answer
    x = 424.36

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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.