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Finding the Fourth Proportional to 367.31, 506.90 and 212.06

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Solution

The fourth proportional to 367.31, 506.90 and 212.06 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.31 : 506.90 = 212.06 : x
  2. Step 2: Convert to fraction form
    367.31/506.90 = 212.06/x
  3. Step 3: Cross multiply
    367.31x = 506.90 × 212.06
  4. Step 4: Simplify right side
    367.31x = 107,495.01
  5. Step 5: Solve for x
    x = 107,495.01/367.31
  6. Step 6: Final answer
    x = 292.65

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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.