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Finding the Fourth Proportional to 202.55, 301.56 and 199.67

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Solution

The fourth proportional to 202.55, 301.56 and 199.67 is: 297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.55 : 301.56 = 199.67 : x
  2. Step 2: Convert to fraction form
    202.55/301.56 = 199.67/x
  3. Step 3: Cross multiply
    202.55x = 301.56 × 199.67
  4. Step 4: Simplify right side
    202.55x = 60,212.86
  5. Step 5: Solve for x
    x = 60,212.86/202.55
  6. Step 6: Final answer
    x = 297.27

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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.