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Finding the Fourth Proportional to 109.81, 164.65 and 77.34

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Solution

The fourth proportional to 109.81, 164.65 and 77.34 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.81 : 164.65 = 77.34 : x
  2. Step 2: Convert to fraction form
    109.81/164.65 = 77.34/x
  3. Step 3: Cross multiply
    109.81x = 164.65 × 77.34
  4. Step 4: Simplify right side
    109.81x = 12,734.03
  5. Step 5: Solve for x
    x = 12,734.03/109.81
  6. Step 6: Final answer
    x = 115.96

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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.