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Finding the Fourth Proportional to 230.24, 315.43 and 217.96

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Solution

The fourth proportional to 230.24, 315.43 and 217.96 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 315.43 = 217.96 : x
  2. Step 2: Convert to fraction form
    230.24/315.43 = 217.96/x
  3. Step 3: Cross multiply
    230.24x = 315.43 × 217.96
  4. Step 4: Simplify right side
    230.24x = 68,749.79
  5. Step 5: Solve for x
    x = 68,749.79/230.24
  6. Step 6: Final answer
    x = 298.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.