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Finding the Fourth Proportional to 167.07, 248.85 and 166.76

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Solution

The fourth proportional to 167.07, 248.85 and 166.76 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.07 : 248.85 = 166.76 : x
  2. Step 2: Convert to fraction form
    167.07/248.85 = 166.76/x
  3. Step 3: Cross multiply
    167.07x = 248.85 × 166.76
  4. Step 4: Simplify right side
    167.07x = 41,496.98
  5. Step 5: Solve for x
    x = 41,496.98/167.07
  6. Step 6: Final answer
    x = 248.38

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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.