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Finding the Fourth Proportional to 167.93, 249.90 and 161.45

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Solution

The fourth proportional to 167.93, 249.90 and 161.45 is: 240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.93 : 249.90 = 161.45 : x
  2. Step 2: Convert to fraction form
    167.93/249.90 = 161.45/x
  3. Step 3: Cross multiply
    167.93x = 249.90 × 161.45
  4. Step 4: Simplify right side
    167.93x = 40,346.36
  5. Step 5: Solve for x
    x = 40,346.36/167.93
  6. Step 6: Final answer
    x = 240.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.