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Finding the Fourth Proportional to 229.91, 342.92 and 217.76

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Solution

The fourth proportional to 229.91, 342.92 and 217.76 is: 324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.91 : 342.92 = 217.76 : x
  2. Step 2: Convert to fraction form
    229.91/342.92 = 217.76/x
  3. Step 3: Cross multiply
    229.91x = 342.92 × 217.76
  4. Step 4: Simplify right side
    229.91x = 74,674.26
  5. Step 5: Solve for x
    x = 74,674.26/229.91
  6. Step 6: Final answer
    x = 324.80

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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.