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Finding the Fourth Proportional to 167.95, 231.48 and 145.78

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Solution

The fourth proportional to 167.95, 231.48 and 145.78 is: 200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.95 : 231.48 = 145.78 : x
  2. Step 2: Convert to fraction form
    167.95/231.48 = 145.78/x
  3. Step 3: Cross multiply
    167.95x = 231.48 × 145.78
  4. Step 4: Simplify right side
    167.95x = 33,745.15
  5. Step 5: Solve for x
    x = 33,745.15/167.95
  6. Step 6: Final answer
    x = 200.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.