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Finding the Fourth Proportional to 167.56, 252.67 and 154.12

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Solution

The fourth proportional to 167.56, 252.67 and 154.12 is: 232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.56 : 252.67 = 154.12 : x
  2. Step 2: Convert to fraction form
    167.56/252.67 = 154.12/x
  3. Step 3: Cross multiply
    167.56x = 252.67 × 154.12
  4. Step 4: Simplify right side
    167.56x = 38,941.50
  5. Step 5: Solve for x
    x = 38,941.50/167.56
  6. Step 6: Final answer
    x = 232.40

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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.