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Finding the Fourth Proportional to 266.40, 367.64 and 149.96

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Solution

The fourth proportional to 266.40, 367.64 and 149.96 is: 206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.40 : 367.64 = 149.96 : x
  2. Step 2: Convert to fraction form
    266.40/367.64 = 149.96/x
  3. Step 3: Cross multiply
    266.40x = 367.64 × 149.96
  4. Step 4: Simplify right side
    266.40x = 55,131.29
  5. Step 5: Solve for x
    x = 55,131.29/266.40
  6. Step 6: Final answer
    x = 206.95

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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.