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Finding the Fourth Proportional to 230.92, 320.59 and 213.16

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Solution

The fourth proportional to 230.92, 320.59 and 213.16 is: 295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.92 : 320.59 = 213.16 : x
  2. Step 2: Convert to fraction form
    230.92/320.59 = 213.16/x
  3. Step 3: Cross multiply
    230.92x = 320.59 × 213.16
  4. Step 4: Simplify right side
    230.92x = 68,336.96
  5. Step 5: Solve for x
    x = 68,336.96/230.92
  6. Step 6: Final answer
    x = 295.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.