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Finding the Fourth Proportional to 166.75, 249.94 and 98.34

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Solution

The fourth proportional to 166.75, 249.94 and 98.34 is: 147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 249.94 = 98.34 : x
  2. Step 2: Convert to fraction form
    166.75/249.94 = 98.34/x
  3. Step 3: Cross multiply
    166.75x = 249.94 × 98.34
  4. Step 4: Simplify right side
    166.75x = 24,579.10
  5. Step 5: Solve for x
    x = 24,579.10/166.75
  6. Step 6: Final answer
    x = 147.40

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Why These Related Problems?

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