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Finding the Fourth Proportional to 109.17, 151.38 and 105.80

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Solution

The fourth proportional to 109.17, 151.38 and 105.80 is: 146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.17 : 151.38 = 105.80 : x
  2. Step 2: Convert to fraction form
    109.17/151.38 = 105.80/x
  3. Step 3: Cross multiply
    109.17x = 151.38 × 105.80
  4. Step 4: Simplify right side
    109.17x = 16,015.25
  5. Step 5: Solve for x
    x = 16,015.25/109.17
  6. Step 6: Final answer
    x = 146.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.