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Finding the Fourth Proportional to 109.75, 164.63 and 36.64

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Solution

The fourth proportional to 109.75, 164.63 and 36.64 is: 54.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 164.63 = 36.64 : x
  2. Step 2: Convert to fraction form
    109.75/164.63 = 36.64/x
  3. Step 3: Cross multiply
    109.75x = 164.63 × 36.64
  4. Step 4: Simplify right side
    109.75x = 6,031.45
  5. Step 5: Solve for x
    x = 6,031.45/109.75
  6. Step 6: Final answer
    x = 54.96

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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.