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Finding the Fourth Proportional to 109.91, 164.57 and 73.23

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Solution

The fourth proportional to 109.91, 164.57 and 73.23 is: 109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.91 : 164.57 = 73.23 : x
  2. Step 2: Convert to fraction form
    109.91/164.57 = 73.23/x
  3. Step 3: Cross multiply
    109.91x = 164.57 × 73.23
  4. Step 4: Simplify right side
    109.91x = 12,051.09
  5. Step 5: Solve for x
    x = 12,051.09/109.91
  6. Step 6: Final answer
    x = 109.65

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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.