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Finding the Fourth Proportional to 199.80, 297.54 and 197.10

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Solution

The fourth proportional to 199.80, 297.54 and 197.10 is: 293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.80 : 297.54 = 197.10 : x
  2. Step 2: Convert to fraction form
    199.80/297.54 = 197.10/x
  3. Step 3: Cross multiply
    199.80x = 297.54 × 197.10
  4. Step 4: Simplify right side
    199.80x = 58,645.13
  5. Step 5: Solve for x
    x = 58,645.13/199.80
  6. Step 6: Final answer
    x = 293.52

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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.