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Finding the Fourth Proportional to 251.92, 377.57 and 142.23

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Solution

The fourth proportional to 251.92, 377.57 and 142.23 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.92 : 377.57 = 142.23 : x
  2. Step 2: Convert to fraction form
    251.92/377.57 = 142.23/x
  3. Step 3: Cross multiply
    251.92x = 377.57 × 142.23
  4. Step 4: Simplify right side
    251.92x = 53,702.14
  5. Step 5: Solve for x
    x = 53,702.14/251.92
  6. Step 6: Final answer
    x = 213.17

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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.