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Finding the Fourth Proportional to 367.11, 506.78 and 209.77

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Solution

The fourth proportional to 367.11, 506.78 and 209.77 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.11 : 506.78 = 209.77 : x
  2. Step 2: Convert to fraction form
    367.11/506.78 = 209.77/x
  3. Step 3: Cross multiply
    367.11x = 506.78 × 209.77
  4. Step 4: Simplify right side
    367.11x = 106,307.24
  5. Step 5: Solve for x
    x = 106,307.24/367.11
  6. Step 6: Final answer
    x = 289.58

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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.