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Finding the Fourth Proportional to 109.22, 163.12 and 97.08

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Solution

The fourth proportional to 109.22, 163.12 and 97.08 is: 144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.22 : 163.12 = 97.08 : x
  2. Step 2: Convert to fraction form
    109.22/163.12 = 97.08/x
  3. Step 3: Cross multiply
    109.22x = 163.12 × 97.08
  4. Step 4: Simplify right side
    109.22x = 15,835.69
  5. Step 5: Solve for x
    x = 15,835.69/109.22
  6. Step 6: Final answer
    x = 144.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.