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Finding the Fourth Proportional to 109.15, 149.53 and 105.21

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Solution

The fourth proportional to 109.15, 149.53 and 105.21 is: 144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.15 : 149.53 = 105.21 : x
  2. Step 2: Convert to fraction form
    109.15/149.53 = 105.21/x
  3. Step 3: Cross multiply
    109.15x = 149.53 × 105.21
  4. Step 4: Simplify right side
    109.15x = 15,731.94
  5. Step 5: Solve for x
    x = 15,731.94/109.15
  6. Step 6: Final answer
    x = 144.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.