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Finding the Fourth Proportional to 231.87, 319.72 and 173.55

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Solution

The fourth proportional to 231.87, 319.72 and 173.55 is: 239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.87 : 319.72 = 173.55 : x
  2. Step 2: Convert to fraction form
    231.87/319.72 = 173.55/x
  3. Step 3: Cross multiply
    231.87x = 319.72 × 173.55
  4. Step 4: Simplify right side
    231.87x = 55,488.21
  5. Step 5: Solve for x
    x = 55,488.21/231.87
  6. Step 6: Final answer
    x = 239.30

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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.