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Finding the Fourth Proportional to 166.62, 251.37 and 158.07

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Solution

The fourth proportional to 166.62, 251.37 and 158.07 is: 238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.62 : 251.37 = 158.07 : x
  2. Step 2: Convert to fraction form
    166.62/251.37 = 158.07/x
  3. Step 3: Cross multiply
    166.62x = 251.37 × 158.07
  4. Step 4: Simplify right side
    166.62x = 39,734.06
  5. Step 5: Solve for x
    x = 39,734.06/166.62
  6. Step 6: Final answer
    x = 238.47

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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.