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Finding the Fourth Proportional to 109.64, 164.34 and 77.18

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Solution

The fourth proportional to 109.64, 164.34 and 77.18 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.64 : 164.34 = 77.18 : x
  2. Step 2: Convert to fraction form
    109.64/164.34 = 77.18/x
  3. Step 3: Cross multiply
    109.64x = 164.34 × 77.18
  4. Step 4: Simplify right side
    109.64x = 12,683.76
  5. Step 5: Solve for x
    x = 12,683.76/109.64
  6. Step 6: Final answer
    x = 115.69

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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.