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Finding the Fourth Proportional to 367.14, 506.70 and 211.86

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Solution

The fourth proportional to 367.14, 506.70 and 211.86 is: 292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 506.70 = 211.86 : x
  2. Step 2: Convert to fraction form
    367.14/506.70 = 211.86/x
  3. Step 3: Cross multiply
    367.14x = 506.70 × 211.86
  4. Step 4: Simplify right side
    367.14x = 107,349.46
  5. Step 5: Solve for x
    x = 107,349.46/367.14
  6. Step 6: Final answer
    x = 292.39

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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.