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Finding the Fourth Proportional to 164.80, 227.61 and 109.79

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Solution

The fourth proportional to 164.80, 227.61 and 109.79 is: 151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.80 : 227.61 = 109.79 : x
  2. Step 2: Convert to fraction form
    164.80/227.61 = 109.79/x
  3. Step 3: Cross multiply
    164.80x = 227.61 × 109.79
  4. Step 4: Simplify right side
    164.80x = 24,988.75
  5. Step 5: Solve for x
    x = 24,988.75/164.80
  6. Step 6: Final answer
    x = 151.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.