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Finding the Fourth Proportional to 109.10, 163.34 and 100.59

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Solution

The fourth proportional to 109.10, 163.34 and 100.59 is: 150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.10 : 163.34 = 100.59 : x
  2. Step 2: Convert to fraction form
    109.10/163.34 = 100.59/x
  3. Step 3: Cross multiply
    109.10x = 163.34 × 100.59
  4. Step 4: Simplify right side
    109.10x = 16,429.87
  5. Step 5: Solve for x
    x = 16,429.87/109.10
  6. Step 6: Final answer
    x = 150.60

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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.