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Finding the Fourth Proportional to 245.63, 338.11 and 212.42

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Solution

The fourth proportional to 245.63, 338.11 and 212.42 is: 292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.63 : 338.11 = 212.42 : x
  2. Step 2: Convert to fraction form
    245.63/338.11 = 212.42/x
  3. Step 3: Cross multiply
    245.63x = 338.11 × 212.42
  4. Step 4: Simplify right side
    245.63x = 71,819.64
  5. Step 5: Solve for x
    x = 71,819.64/245.63
  6. Step 6: Final answer
    x = 292.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.