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Finding the Fourth Proportional to 252.43, 377.93 and 201.15

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Solution

The fourth proportional to 252.43, 377.93 and 201.15 is: 301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.43 : 377.93 = 201.15 : x
  2. Step 2: Convert to fraction form
    252.43/377.93 = 201.15/x
  3. Step 3: Cross multiply
    252.43x = 377.93 × 201.15
  4. Step 4: Simplify right side
    252.43x = 76,020.62
  5. Step 5: Solve for x
    x = 76,020.62/252.43
  6. Step 6: Final answer
    x = 301.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.