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Finding the Fourth Proportional to 251.10, 346.41 and 157.82

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Solution

The fourth proportional to 251.10, 346.41 and 157.82 is: 217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.10 : 346.41 = 157.82 : x
  2. Step 2: Convert to fraction form
    251.10/346.41 = 157.82/x
  3. Step 3: Cross multiply
    251.10x = 346.41 × 157.82
  4. Step 4: Simplify right side
    251.10x = 54,668.69
  5. Step 5: Solve for x
    x = 54,668.69/251.10
  6. Step 6: Final answer
    x = 217.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.