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Finding the Fourth Proportional to 198.78, 297.63 and 171.24

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Solution

The fourth proportional to 198.78, 297.63 and 171.24 is: 256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 297.63 = 171.24 : x
  2. Step 2: Convert to fraction form
    198.78/297.63 = 171.24/x
  3. Step 3: Cross multiply
    198.78x = 297.63 × 171.24
  4. Step 4: Simplify right side
    198.78x = 50,966.16
  5. Step 5: Solve for x
    x = 50,966.16/198.78
  6. Step 6: Final answer
    x = 256.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.