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Finding the Fourth Proportional to 231.66, 320.07 and 173.82

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Solution

The fourth proportional to 231.66, 320.07 and 173.82 is: 240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 320.07 = 173.82 : x
  2. Step 2: Convert to fraction form
    231.66/320.07 = 173.82/x
  3. Step 3: Cross multiply
    231.66x = 320.07 × 173.82
  4. Step 4: Simplify right side
    231.66x = 55,634.57
  5. Step 5: Solve for x
    x = 55,634.57/231.66
  6. Step 6: Final answer
    x = 240.16

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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.