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Finding the Fourth Proportional to 252.27, 377.91 and 136.67

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Solution

The fourth proportional to 252.27, 377.91 and 136.67 is: 204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.27 : 377.91 = 136.67 : x
  2. Step 2: Convert to fraction form
    252.27/377.91 = 136.67/x
  3. Step 3: Cross multiply
    252.27x = 377.91 × 136.67
  4. Step 4: Simplify right side
    252.27x = 51,647.07
  5. Step 5: Solve for x
    x = 51,647.07/252.27
  6. Step 6: Final answer
    x = 204.73

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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.