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Finding the Fourth Proportional to 367.38, 506.67 and 256.80

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Solution

The fourth proportional to 367.38, 506.67 and 256.80 is: 354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.38 : 506.67 = 256.80 : x
  2. Step 2: Convert to fraction form
    367.38/506.67 = 256.80/x
  3. Step 3: Cross multiply
    367.38x = 506.67 × 256.80
  4. Step 4: Simplify right side
    367.38x = 130,112.86
  5. Step 5: Solve for x
    x = 130,112.86/367.38
  6. Step 6: Final answer
    x = 354.16

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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.