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Finding the Fourth Proportional to 578.28, 867.29 and 167.33

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Solution

The fourth proportional to 578.28, 867.29 and 167.33 is: 250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 867.29 = 167.33 : x
  2. Step 2: Convert to fraction form
    578.28/867.29 = 167.33/x
  3. Step 3: Cross multiply
    578.28x = 867.29 × 167.33
  4. Step 4: Simplify right side
    578.28x = 145,119.30
  5. Step 5: Solve for x
    x = 145,119.30/578.28
  6. Step 6: Final answer
    x = 250.95

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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.