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Finding the Fourth Proportional to 245.50, 338.92 and 167.23

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Solution

The fourth proportional to 245.50, 338.92 and 167.23 is: 230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.50 : 338.92 = 167.23 : x
  2. Step 2: Convert to fraction form
    245.50/338.92 = 167.23/x
  3. Step 3: Cross multiply
    245.50x = 338.92 × 167.23
  4. Step 4: Simplify right side
    245.50x = 56,677.59
  5. Step 5: Solve for x
    x = 56,677.59/245.50
  6. Step 6: Final answer
    x = 230.87

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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.