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Finding the Fourth Proportional to 109.48, 164.25 and 36.34

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Solution

The fourth proportional to 109.48, 164.25 and 36.34 is: 54.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.48 : 164.25 = 36.34 : x
  2. Step 2: Convert to fraction form
    109.48/164.25 = 36.34/x
  3. Step 3: Cross multiply
    109.48x = 164.25 × 36.34
  4. Step 4: Simplify right side
    109.48x = 5,968.85
  5. Step 5: Solve for x
    x = 5,968.85/109.48
  6. Step 6: Final answer
    x = 54.52

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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.