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Finding the Fourth Proportional to 149.96, 208 and 144.49

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Solution

The fourth proportional to 149.96, 208 and 144.49 is: 200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.96 : 208 = 144.49 : x
  2. Step 2: Convert to fraction form
    149.96/208 = 144.49/x
  3. Step 3: Cross multiply
    149.96x = 208 × 144.49
  4. Step 4: Simplify right side
    149.96x = 30,053.92
  5. Step 5: Solve for x
    x = 30,053.92/149.96
  6. Step 6: Final answer
    x = 200.41

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.