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Finding the Fourth Proportional to 231.92, 318.26 and 211.04

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Solution

The fourth proportional to 231.92, 318.26 and 211.04 is: 289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.92 : 318.26 = 211.04 : x
  2. Step 2: Convert to fraction form
    231.92/318.26 = 211.04/x
  3. Step 3: Cross multiply
    231.92x = 318.26 × 211.04
  4. Step 4: Simplify right side
    231.92x = 67,165.33
  5. Step 5: Solve for x
    x = 67,165.33/231.92
  6. Step 6: Final answer
    x = 289.60

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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.