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Finding the Fourth Proportional to 199.04, 296.98 and 195.80

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Solution

The fourth proportional to 199.04, 296.98 and 195.80 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.04 : 296.98 = 195.80 : x
  2. Step 2: Convert to fraction form
    199.04/296.98 = 195.80/x
  3. Step 3: Cross multiply
    199.04x = 296.98 × 195.80
  4. Step 4: Simplify right side
    199.04x = 58,148.68
  5. Step 5: Solve for x
    x = 58,148.68/199.04
  6. Step 6: Final answer
    x = 292.15

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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.