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Finding the Fourth Proportional to 202.23, 301.15 and 199.95

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Solution

The fourth proportional to 202.23, 301.15 and 199.95 is: 297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.23 : 301.15 = 199.95 : x
  2. Step 2: Convert to fraction form
    202.23/301.15 = 199.95/x
  3. Step 3: Cross multiply
    202.23x = 301.15 × 199.95
  4. Step 4: Simplify right side
    202.23x = 60,214.06
  5. Step 5: Solve for x
    x = 60,214.06/202.23
  6. Step 6: Final answer
    x = 297.75

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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.