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Finding the Fourth Proportional to 351.74, 527.51 and 166.62

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Solution

The fourth proportional to 351.74, 527.51 and 166.62 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.74 : 527.51 = 166.62 : x
  2. Step 2: Convert to fraction form
    351.74/527.51 = 166.62/x
  3. Step 3: Cross multiply
    351.74x = 527.51 × 166.62
  4. Step 4: Simplify right side
    351.74x = 87,892.88
  5. Step 5: Solve for x
    x = 87,892.88/351.74
  6. Step 6: Final answer
    x = 249.88

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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.