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Finding the Fourth Proportional to 149.72, 206.69 and 143.91

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Solution

The fourth proportional to 149.72, 206.69 and 143.91 is: 198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.72 : 206.69 = 143.91 : x
  2. Step 2: Convert to fraction form
    149.72/206.69 = 143.91/x
  3. Step 3: Cross multiply
    149.72x = 206.69 × 143.91
  4. Step 4: Simplify right side
    149.72x = 29,744.04
  5. Step 5: Solve for x
    x = 29,744.04/149.72
  6. Step 6: Final answer
    x = 198.67

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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.