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Finding the Fourth Proportional to 217.10, 299.36 and 149.67

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Solution

The fourth proportional to 217.10, 299.36 and 149.67 is: 206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.10 : 299.36 = 149.67 : x
  2. Step 2: Convert to fraction form
    217.10/299.36 = 149.67/x
  3. Step 3: Cross multiply
    217.10x = 299.36 × 149.67
  4. Step 4: Simplify right side
    217.10x = 44,805.59
  5. Step 5: Solve for x
    x = 44,805.59/217.10
  6. Step 6: Final answer
    x = 206.38

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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.