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Finding the Fourth Proportional to 427.49, 640.85 and 167.31

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Solution

The fourth proportional to 427.49, 640.85 and 167.31 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.49 : 640.85 = 167.31 : x
  2. Step 2: Convert to fraction form
    427.49/640.85 = 167.31/x
  3. Step 3: Cross multiply
    427.49x = 640.85 × 167.31
  4. Step 4: Simplify right side
    427.49x = 107,219.78
  5. Step 5: Solve for x
    x = 107,219.78/427.49
  6. Step 6: Final answer
    x = 250.82

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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.