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Finding the Fourth Proportional to 109.82, 164.30 and 94.77

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Solution

The fourth proportional to 109.82, 164.30 and 94.77 is: 141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 164.30 = 94.77 : x
  2. Step 2: Convert to fraction form
    109.82/164.30 = 94.77/x
  3. Step 3: Cross multiply
    109.82x = 164.30 × 94.77
  4. Step 4: Simplify right side
    109.82x = 15,570.24
  5. Step 5: Solve for x
    x = 15,570.24/109.82
  6. Step 6: Final answer
    x = 141.78

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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.