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Finding the Fourth Proportional to 242.92, 362.17 and 215.56

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Solution

The fourth proportional to 242.92, 362.17 and 215.56 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.92 : 362.17 = 215.56 : x
  2. Step 2: Convert to fraction form
    242.92/362.17 = 215.56/x
  3. Step 3: Cross multiply
    242.92x = 362.17 × 215.56
  4. Step 4: Simplify right side
    242.92x = 78,069.37
  5. Step 5: Solve for x
    x = 78,069.37/242.92
  6. Step 6: Final answer
    x = 321.38

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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.