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Finding the Fourth Proportional to 258.50, 385.18 and 231.23

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Solution

The fourth proportional to 258.50, 385.18 and 231.23 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 385.18 = 231.23 : x
  2. Step 2: Convert to fraction form
    258.50/385.18 = 231.23/x
  3. Step 3: Cross multiply
    258.50x = 385.18 × 231.23
  4. Step 4: Simplify right side
    258.50x = 89,065.56
  5. Step 5: Solve for x
    x = 89,065.56/258.50
  6. Step 6: Final answer
    x = 344.54

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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.