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Finding the Fourth Proportional to 367.16, 506.28 and 278.80

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Solution

The fourth proportional to 367.16, 506.28 and 278.80 is: 384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 506.28 = 278.80 : x
  2. Step 2: Convert to fraction form
    367.16/506.28 = 278.80/x
  3. Step 3: Cross multiply
    367.16x = 506.28 × 278.80
  4. Step 4: Simplify right side
    367.16x = 141,150.72
  5. Step 5: Solve for x
    x = 141,150.72/367.16
  6. Step 6: Final answer
    x = 384.44

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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.