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Finding the Fourth Proportional to 251.71, 377.71 and 142.26

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Solution

The fourth proportional to 251.71, 377.71 and 142.26 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.71 : 377.71 = 142.26 : x
  2. Step 2: Convert to fraction form
    251.71/377.71 = 142.26/x
  3. Step 3: Cross multiply
    251.71x = 377.71 × 142.26
  4. Step 4: Simplify right side
    251.71x = 53,733.02
  5. Step 5: Solve for x
    x = 53,733.02/251.71
  6. Step 6: Final answer
    x = 213.47

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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.