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Finding the Fourth Proportional to 109.44, 164.36 and 91.32

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Solution

The fourth proportional to 109.44, 164.36 and 91.32 is: 137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 164.36 = 91.32 : x
  2. Step 2: Convert to fraction form
    109.44/164.36 = 91.32/x
  3. Step 3: Cross multiply
    109.44x = 164.36 × 91.32
  4. Step 4: Simplify right side
    109.44x = 15,009.36
  5. Step 5: Solve for x
    x = 15,009.36/109.44
  6. Step 6: Final answer
    x = 137.15

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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.