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Finding the Fourth Proportional to 166.51, 249.68 and 79.82

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Solution

The fourth proportional to 166.51, 249.68 and 79.82 is: 119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.51 : 249.68 = 79.82 : x
  2. Step 2: Convert to fraction form
    166.51/249.68 = 79.82/x
  3. Step 3: Cross multiply
    166.51x = 249.68 × 79.82
  4. Step 4: Simplify right side
    166.51x = 19,929.46
  5. Step 5: Solve for x
    x = 19,929.46/166.51
  6. Step 6: Final answer
    x = 119.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.