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Finding the Fourth Proportional to 167.79, 231.21 and 153.81

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Solution

The fourth proportional to 167.79, 231.21 and 153.81 is: 211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.79 : 231.21 = 153.81 : x
  2. Step 2: Convert to fraction form
    167.79/231.21 = 153.81/x
  3. Step 3: Cross multiply
    167.79x = 231.21 × 153.81
  4. Step 4: Simplify right side
    167.79x = 35,562.41
  5. Step 5: Solve for x
    x = 35,562.41/167.79
  6. Step 6: Final answer
    x = 211.95

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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.