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Finding the Fourth Proportional to 166.20, 249 and 117.90

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Solution

The fourth proportional to 166.20, 249 and 117.90 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.20 : 249 = 117.90 : x
  2. Step 2: Convert to fraction form
    166.20/249 = 117.90/x
  3. Step 3: Cross multiply
    166.20x = 249 × 117.90
  4. Step 4: Simplify right side
    166.20x = 29,357.10
  5. Step 5: Solve for x
    x = 29,357.10/166.20
  6. Step 6: Final answer
    x = 176.64

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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.