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Finding the Fourth Proportional to 199.80, 297.52 and 194.68

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Solution

The fourth proportional to 199.80, 297.52 and 194.68 is: 289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.80 : 297.52 = 194.68 : x
  2. Step 2: Convert to fraction form
    199.80/297.52 = 194.68/x
  3. Step 3: Cross multiply
    199.80x = 297.52 × 194.68
  4. Step 4: Simplify right side
    199.80x = 57,921.19
  5. Step 5: Solve for x
    x = 57,921.19/199.80
  6. Step 6: Final answer
    x = 289.90

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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.