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Finding the Fourth Proportional to 167.18, 250.66 and 76.00

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Solution

The fourth proportional to 167.18, 250.66 and 76.00 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.18 : 250.66 = 76.00 : x
  2. Step 2: Convert to fraction form
    167.18/250.66 = 76.00/x
  3. Step 3: Cross multiply
    167.18x = 250.66 × 76.00
  4. Step 4: Simplify right side
    167.18x = 19,049.34
  5. Step 5: Solve for x
    x = 19,049.34/167.18
  6. Step 6: Final answer
    x = 113.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.