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Finding the Fourth Proportional to 367.67, 506.58 and 243.12

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Solution

The fourth proportional to 367.67, 506.58 and 243.12 is: 334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.67 : 506.58 = 243.12 : x
  2. Step 2: Convert to fraction form
    367.67/506.58 = 243.12/x
  3. Step 3: Cross multiply
    367.67x = 506.58 × 243.12
  4. Step 4: Simplify right side
    367.67x = 123,159.73
  5. Step 5: Solve for x
    x = 123,159.73/367.67
  6. Step 6: Final answer
    x = 334.98

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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.