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Finding the Fourth Proportional to 242.28, 363.24 and 215.28

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Solution

The fourth proportional to 242.28, 363.24 and 215.28 is: 322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.28 : 363.24 = 215.28 : x
  2. Step 2: Convert to fraction form
    242.28/363.24 = 215.28/x
  3. Step 3: Cross multiply
    242.28x = 363.24 × 215.28
  4. Step 4: Simplify right side
    242.28x = 78,198.31
  5. Step 5: Solve for x
    x = 78,198.31/242.28
  6. Step 6: Final answer
    x = 322.76

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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.