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Finding the Fourth Proportional to 251.71, 346.90 and 167.54

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Solution

The fourth proportional to 251.71, 346.90 and 167.54 is: 230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.71 : 346.90 = 167.54 : x
  2. Step 2: Convert to fraction form
    251.71/346.90 = 167.54/x
  3. Step 3: Cross multiply
    251.71x = 346.90 × 167.54
  4. Step 4: Simplify right side
    251.71x = 58,118.87
  5. Step 5: Solve for x
    x = 58,118.87/251.71
  6. Step 6: Final answer
    x = 230.89

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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.