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Finding the Fourth Proportional to 242.87, 338.34 and 242.87

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Solution

The fourth proportional to 242.87, 338.34 and 242.87 is: 338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.87 : 338.34 = 242.87 : x
  2. Step 2: Convert to fraction form
    242.87/338.34 = 242.87/x
  3. Step 3: Cross multiply
    242.87x = 338.34 × 242.87
  4. Step 4: Simplify right side
    242.87x = 82,171.85
  5. Step 5: Solve for x
    x = 82,171.85/242.87
  6. Step 6: Final answer
    x = 338.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.