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Finding the Fourth Proportional to 452.78, 678.94 and 209.09

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Solution

The fourth proportional to 452.78, 678.94 and 209.09 is: 313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.78 : 678.94 = 209.09 : x
  2. Step 2: Convert to fraction form
    452.78/678.94 = 209.09/x
  3. Step 3: Cross multiply
    452.78x = 678.94 × 209.09
  4. Step 4: Simplify right side
    452.78x = 141,959.56
  5. Step 5: Solve for x
    x = 141,959.56/452.78
  6. Step 6: Final answer
    x = 313.53

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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.