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Finding the Fourth Proportional to 117.28, 174.83 and 108.64

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Solution

The fourth proportional to 117.28, 174.83 and 108.64 is: 161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 174.83 = 108.64 : x
  2. Step 2: Convert to fraction form
    117.28/174.83 = 108.64/x
  3. Step 3: Cross multiply
    117.28x = 174.83 × 108.64
  4. Step 4: Simplify right side
    117.28x = 18,993.53
  5. Step 5: Solve for x
    x = 18,993.53/117.28
  6. Step 6: Final answer
    x = 161.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.