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Finding the Fourth Proportional to 167.54, 252.56 and 156.39

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Solution

The fourth proportional to 167.54, 252.56 and 156.39 is: 235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 252.56 = 156.39 : x
  2. Step 2: Convert to fraction form
    167.54/252.56 = 156.39/x
  3. Step 3: Cross multiply
    167.54x = 252.56 × 156.39
  4. Step 4: Simplify right side
    167.54x = 39,496.20
  5. Step 5: Solve for x
    x = 39,496.20/167.54
  6. Step 6: Final answer
    x = 235.75

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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.