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Finding the Fourth Proportional to 266.04, 367.11 and 149.60

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Solution

The fourth proportional to 266.04, 367.11 and 149.60 is: 206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.04 : 367.11 = 149.60 : x
  2. Step 2: Convert to fraction form
    266.04/367.11 = 149.60/x
  3. Step 3: Cross multiply
    266.04x = 367.11 × 149.60
  4. Step 4: Simplify right side
    266.04x = 54,919.66
  5. Step 5: Solve for x
    x = 54,919.66/266.04
  6. Step 6: Final answer
    x = 206.43

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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.