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Finding the Fourth Proportional to 367.20, 506.70 and 242.61

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Solution

The fourth proportional to 367.20, 506.70 and 242.61 is: 334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.20 : 506.70 = 242.61 : x
  2. Step 2: Convert to fraction form
    367.20/506.70 = 242.61/x
  3. Step 3: Cross multiply
    367.20x = 506.70 × 242.61
  4. Step 4: Simplify right side
    367.20x = 122,930.49
  5. Step 5: Solve for x
    x = 122,930.49/367.20
  6. Step 6: Final answer
    x = 334.78

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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.