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Finding the Fourth Proportional to 109.40, 166 and 109.40

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Solution

The fourth proportional to 109.40, 166 and 109.40 is: 166

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.40 : 166 = 109.40 : x
  2. Step 2: Convert to fraction form
    109.40/166 = 109.40/x
  3. Step 3: Cross multiply
    109.40x = 166 × 109.40
  4. Step 4: Simplify right side
    109.40x = 18,160.40
  5. Step 5: Solve for x
    x = 18,160.40/109.40
  6. Step 6: Final answer
    x = 166

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.