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Finding the Fourth Proportional to 367.07, 506.56 and 209.72

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Solution

The fourth proportional to 367.07, 506.56 and 209.72 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.07 : 506.56 = 209.72 : x
  2. Step 2: Convert to fraction form
    367.07/506.56 = 209.72/x
  3. Step 3: Cross multiply
    367.07x = 506.56 × 209.72
  4. Step 4: Simplify right side
    367.07x = 106,232.71
  5. Step 5: Solve for x
    x = 106,232.71/367.07
  6. Step 6: Final answer
    x = 289.41

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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.