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Finding the Fourth Proportional to 367.13, 506.57 and 284.13

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Solution

The fourth proportional to 367.13, 506.57 and 284.13 is: 392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.13 : 506.57 = 284.13 : x
  2. Step 2: Convert to fraction form
    367.13/506.57 = 284.13/x
  3. Step 3: Cross multiply
    367.13x = 506.57 × 284.13
  4. Step 4: Simplify right side
    367.13x = 143,930.31
  5. Step 5: Solve for x
    x = 143,930.31/367.13
  6. Step 6: Final answer
    x = 392.04

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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.