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Finding the Fourth Proportional to 166.84, 230.46 and 111.76

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Solution

The fourth proportional to 166.84, 230.46 and 111.76 is: 154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.84 : 230.46 = 111.76 : x
  2. Step 2: Convert to fraction form
    166.84/230.46 = 111.76/x
  3. Step 3: Cross multiply
    166.84x = 230.46 × 111.76
  4. Step 4: Simplify right side
    166.84x = 25,756.21
  5. Step 5: Solve for x
    x = 25,756.21/166.84
  6. Step 6: Final answer
    x = 154.38

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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.