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Finding the Fourth Proportional to 171.67, 238.13 and 165.53

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Solution

The fourth proportional to 171.67, 238.13 and 165.53 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.67 : 238.13 = 165.53 : x
  2. Step 2: Convert to fraction form
    171.67/238.13 = 165.53/x
  3. Step 3: Cross multiply
    171.67x = 238.13 × 165.53
  4. Step 4: Simplify right side
    171.67x = 39,417.66
  5. Step 5: Solve for x
    x = 39,417.66/171.67
  6. Step 6: Final answer
    x = 229.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.