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Finding the Fourth Proportional to 171.67, 237.02 and 153.22

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Solution

The fourth proportional to 171.67, 237.02 and 153.22 is: 211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.67 : 237.02 = 153.22 : x
  2. Step 2: Convert to fraction form
    171.67/237.02 = 153.22/x
  3. Step 3: Cross multiply
    171.67x = 237.02 × 153.22
  4. Step 4: Simplify right side
    171.67x = 36,314.85
  5. Step 5: Solve for x
    x = 36,314.85/171.67
  6. Step 6: Final answer
    x = 211.54

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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.