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Finding the Fourth Proportional to 231.29, 345.57 and 223.21

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Solution

The fourth proportional to 231.29, 345.57 and 223.21 is: 333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.29 : 345.57 = 223.21 : x
  2. Step 2: Convert to fraction form
    231.29/345.57 = 223.21/x
  3. Step 3: Cross multiply
    231.29x = 345.57 × 223.21
  4. Step 4: Simplify right side
    231.29x = 77,135.95
  5. Step 5: Solve for x
    x = 77,135.95/231.29
  6. Step 6: Final answer
    x = 333.51

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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.