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Finding the Fourth Proportional to 109.38, 164.14 and 45.25

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Solution

The fourth proportional to 109.38, 164.14 and 45.25 is: 67.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.38 : 164.14 = 45.25 : x
  2. Step 2: Convert to fraction form
    109.38/164.14 = 45.25/x
  3. Step 3: Cross multiply
    109.38x = 164.14 × 45.25
  4. Step 4: Simplify right side
    109.38x = 7,427.34
  5. Step 5: Solve for x
    x = 7,427.34/109.38
  6. Step 6: Final answer
    x = 67.90

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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.