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Finding the Fourth Proportional to 215.17, 297.11 and 198.79

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Solution

The fourth proportional to 215.17, 297.11 and 198.79 is: 274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.17 : 297.11 = 198.79 : x
  2. Step 2: Convert to fraction form
    215.17/297.11 = 198.79/x
  3. Step 3: Cross multiply
    215.17x = 297.11 × 198.79
  4. Step 4: Simplify right side
    215.17x = 59,061.50
  5. Step 5: Solve for x
    x = 59,061.50/215.17
  6. Step 6: Final answer
    x = 274.49

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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.