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Finding the Fourth Proportional to 166.88, 251.56 and 157.47

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Solution

The fourth proportional to 166.88, 251.56 and 157.47 is: 237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.88 : 251.56 = 157.47 : x
  2. Step 2: Convert to fraction form
    166.88/251.56 = 157.47/x
  3. Step 3: Cross multiply
    166.88x = 251.56 × 157.47
  4. Step 4: Simplify right side
    166.88x = 39,613.15
  5. Step 5: Solve for x
    x = 39,613.15/166.88
  6. Step 6: Final answer
    x = 237.38

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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.