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Finding the Fourth Proportional to 213.14, 293.54 and 198.02

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Solution

The fourth proportional to 213.14, 293.54 and 198.02 is: 272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 293.54 = 198.02 : x
  2. Step 2: Convert to fraction form
    213.14/293.54 = 198.02/x
  3. Step 3: Cross multiply
    213.14x = 293.54 × 198.02
  4. Step 4: Simplify right side
    213.14x = 58,126.79
  5. Step 5: Solve for x
    x = 58,126.79/213.14
  6. Step 6: Final answer
    x = 272.72

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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.