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Finding the Fourth Proportional to 149.81, 204.84 and 144.14

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Solution

The fourth proportional to 149.81, 204.84 and 144.14 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.81 : 204.84 = 144.14 : x
  2. Step 2: Convert to fraction form
    149.81/204.84 = 144.14/x
  3. Step 3: Cross multiply
    149.81x = 204.84 × 144.14
  4. Step 4: Simplify right side
    149.81x = 29,524.92
  5. Step 5: Solve for x
    x = 29,524.92/149.81
  6. Step 6: Final answer
    x = 197.08

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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.