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Finding the Fourth Proportional to 266.16, 367.31 and 149.72

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Solution

The fourth proportional to 266.16, 367.31 and 149.72 is: 206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.16 : 367.31 = 149.72 : x
  2. Step 2: Convert to fraction form
    266.16/367.31 = 149.72/x
  3. Step 3: Cross multiply
    266.16x = 367.31 × 149.72
  4. Step 4: Simplify right side
    266.16x = 54,993.65
  5. Step 5: Solve for x
    x = 54,993.65/266.16
  6. Step 6: Final answer
    x = 206.62

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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.