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Finding the Fourth Proportional to 427.52, 638.16 and 367.04

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Solution

The fourth proportional to 427.52, 638.16 and 367.04 is: 547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 638.16 = 367.04 : x
  2. Step 2: Convert to fraction form
    427.52/638.16 = 367.04/x
  3. Step 3: Cross multiply
    427.52x = 638.16 × 367.04
  4. Step 4: Simplify right side
    427.52x = 234,230.25
  5. Step 5: Solve for x
    x = 234,230.25/427.52
  6. Step 6: Final answer
    x = 547.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.