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Finding the Fourth Proportional to 213.30, 292.68 and 198.72

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Solution

The fourth proportional to 213.30, 292.68 and 198.72 is: 272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.30 : 292.68 = 198.72 : x
  2. Step 2: Convert to fraction form
    213.30/292.68 = 198.72/x
  3. Step 3: Cross multiply
    213.30x = 292.68 × 198.72
  4. Step 4: Simplify right side
    213.30x = 58,161.37
  5. Step 5: Solve for x
    x = 58,161.37/213.30
  6. Step 6: Final answer
    x = 272.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.