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Finding the Fourth Proportional to 231.49, 319.31 and 166.03

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Solution

The fourth proportional to 231.49, 319.31 and 166.03 is: 229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.49 : 319.31 = 166.03 : x
  2. Step 2: Convert to fraction form
    231.49/319.31 = 166.03/x
  3. Step 3: Cross multiply
    231.49x = 319.31 × 166.03
  4. Step 4: Simplify right side
    231.49x = 53,014.21
  5. Step 5: Solve for x
    x = 53,014.21/231.49
  6. Step 6: Final answer
    x = 229.01

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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.