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Finding the Fourth Proportional to 234.74, 353.35 and 166.75

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Solution

The fourth proportional to 234.74, 353.35 and 166.75 is: 251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.74 : 353.35 = 166.75 : x
  2. Step 2: Convert to fraction form
    234.74/353.35 = 166.75/x
  3. Step 3: Cross multiply
    234.74x = 353.35 × 166.75
  4. Step 4: Simplify right side
    234.74x = 58,921.11
  5. Step 5: Solve for x
    x = 58,921.11/234.74
  6. Step 6: Final answer
    x = 251.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.