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Finding the Fourth Proportional to 578.42, 867.38 and 167.55

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Solution

The fourth proportional to 578.42, 867.38 and 167.55 is: 251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 867.38 = 167.55 : x
  2. Step 2: Convert to fraction form
    578.42/867.38 = 167.55/x
  3. Step 3: Cross multiply
    578.42x = 867.38 × 167.55
  4. Step 4: Simplify right side
    578.42x = 145,325.43
  5. Step 5: Solve for x
    x = 145,325.43/578.42
  6. Step 6: Final answer
    x = 251.25

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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.