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Finding the Fourth Proportional to 199.72, 297.05 and 197.20

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Solution

The fourth proportional to 199.72, 297.05 and 197.20 is: 293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.72 : 297.05 = 197.20 : x
  2. Step 2: Convert to fraction form
    199.72/297.05 = 197.20/x
  3. Step 3: Cross multiply
    199.72x = 297.05 × 197.20
  4. Step 4: Simplify right side
    199.72x = 58,578.26
  5. Step 5: Solve for x
    x = 58,578.26/199.72
  6. Step 6: Final answer
    x = 293.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.