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Finding the Fourth Proportional to 229.91, 342.83 and 213.17

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Solution

The fourth proportional to 229.91, 342.83 and 213.17 is: 317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.91 : 342.83 = 213.17 : x
  2. Step 2: Convert to fraction form
    229.91/342.83 = 213.17/x
  3. Step 3: Cross multiply
    229.91x = 342.83 × 213.17
  4. Step 4: Simplify right side
    229.91x = 73,079.79
  5. Step 5: Solve for x
    x = 73,079.79/229.91
  6. Step 6: Final answer
    x = 317.87

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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.