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Finding the Fourth Proportional to 109.57, 164.36 and 93.44

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Solution

The fourth proportional to 109.57, 164.36 and 93.44 is: 140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.57 : 164.36 = 93.44 : x
  2. Step 2: Convert to fraction form
    109.57/164.36 = 93.44/x
  3. Step 3: Cross multiply
    109.57x = 164.36 × 93.44
  4. Step 4: Simplify right side
    109.57x = 15,356.51
  5. Step 5: Solve for x
    x = 15,356.51/109.57
  6. Step 6: Final answer
    x = 140.16

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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.