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Finding the Fourth Proportional to 167.30, 249.23 and 157.98

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Solution

The fourth proportional to 167.30, 249.23 and 157.98 is: 235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.30 : 249.23 = 157.98 : x
  2. Step 2: Convert to fraction form
    167.30/249.23 = 157.98/x
  3. Step 3: Cross multiply
    167.30x = 249.23 × 157.98
  4. Step 4: Simplify right side
    167.30x = 39,372.57
  5. Step 5: Solve for x
    x = 39,372.57/167.30
  6. Step 6: Final answer
    x = 235.35

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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.