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Finding the Fourth Proportional to 231.56, 345.22 and 213.29

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Solution

The fourth proportional to 231.56, 345.22 and 213.29 is: 317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.56 : 345.22 = 213.29 : x
  2. Step 2: Convert to fraction form
    231.56/345.22 = 213.29/x
  3. Step 3: Cross multiply
    231.56x = 345.22 × 213.29
  4. Step 4: Simplify right side
    231.56x = 73,630.91
  5. Step 5: Solve for x
    x = 73,630.91/231.56
  6. Step 6: Final answer
    x = 317.98

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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.