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Finding the Fourth Proportional to 366.78, 506.10 and 209.42

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Solution

The fourth proportional to 366.78, 506.10 and 209.42 is: 288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.78 : 506.10 = 209.42 : x
  2. Step 2: Convert to fraction form
    366.78/506.10 = 209.42/x
  3. Step 3: Cross multiply
    366.78x = 506.10 × 209.42
  4. Step 4: Simplify right side
    366.78x = 105,987.46
  5. Step 5: Solve for x
    x = 105,987.46/366.78
  6. Step 6: Final answer
    x = 288.97

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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.