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Finding the Fourth Proportional to 199.80, 288.90 and 199.80

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Solution

The fourth proportional to 199.80, 288.90 and 199.80 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.80 : 288.90 = 199.80 : x
  2. Step 2: Convert to fraction form
    199.80/288.90 = 199.80/x
  3. Step 3: Cross multiply
    199.80x = 288.90 × 199.80
  4. Step 4: Simplify right side
    199.80x = 57,722.22
  5. Step 5: Solve for x
    x = 57,722.22/199.80
  6. Step 6: Final answer
    x = 288.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.