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Finding the Fourth Proportional to 109.84, 149.60 and 108.57

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Solution

The fourth proportional to 109.84, 149.60 and 108.57 is: 147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 149.60 = 108.57 : x
  2. Step 2: Convert to fraction form
    109.84/149.60 = 108.57/x
  3. Step 3: Cross multiply
    109.84x = 149.60 × 108.57
  4. Step 4: Simplify right side
    109.84x = 16,241.03
  5. Step 5: Solve for x
    x = 16,241.03/109.84
  6. Step 6: Final answer
    x = 147.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.