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Finding the Fourth Proportional to 242.27, 363.47 and 139.67

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Solution

The fourth proportional to 242.27, 363.47 and 139.67 is: 209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.27 : 363.47 = 139.67 : x
  2. Step 2: Convert to fraction form
    242.27/363.47 = 139.67/x
  3. Step 3: Cross multiply
    242.27x = 363.47 × 139.67
  4. Step 4: Simplify right side
    242.27x = 50,765.85
  5. Step 5: Solve for x
    x = 50,765.85/242.27
  6. Step 6: Final answer
    x = 209.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.