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Finding the Fourth Proportional to 292.20, 402.43 and 218.38

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Solution

The fourth proportional to 292.20, 402.43 and 218.38 is: 300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 402.43 = 218.38 : x
  2. Step 2: Convert to fraction form
    292.20/402.43 = 218.38/x
  3. Step 3: Cross multiply
    292.20x = 402.43 × 218.38
  4. Step 4: Simplify right side
    292.20x = 87,882.66
  5. Step 5: Solve for x
    x = 87,882.66/292.20
  6. Step 6: Final answer
    x = 300.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.