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Finding the Fourth Proportional to 149.29, 205.90 and 105.01

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Solution

The fourth proportional to 149.29, 205.90 and 105.01 is: 144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.29 : 205.90 = 105.01 : x
  2. Step 2: Convert to fraction form
    149.29/205.90 = 105.01/x
  3. Step 3: Cross multiply
    149.29x = 205.90 × 105.01
  4. Step 4: Simplify right side
    149.29x = 21,621.56
  5. Step 5: Solve for x
    x = 21,621.56/149.29
  6. Step 6: Final answer
    x = 144.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.