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Finding the Fourth Proportional to 229.92, 342.63 and 217.50

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Solution

The fourth proportional to 229.92, 342.63 and 217.50 is: 324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 342.63 = 217.50 : x
  2. Step 2: Convert to fraction form
    229.92/342.63 = 217.50/x
  3. Step 3: Cross multiply
    229.92x = 342.63 × 217.50
  4. Step 4: Simplify right side
    229.92x = 74,522.03
  5. Step 5: Solve for x
    x = 74,522.03/229.92
  6. Step 6: Final answer
    x = 324.12

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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.