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Finding the Fourth Proportional to 367.53, 506.93 and 280.41

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Solution

The fourth proportional to 367.53, 506.93 and 280.41 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.53 : 506.93 = 280.41 : x
  2. Step 2: Convert to fraction form
    367.53/506.93 = 280.41/x
  3. Step 3: Cross multiply
    367.53x = 506.93 × 280.41
  4. Step 4: Simplify right side
    367.53x = 142,146.84
  5. Step 5: Solve for x
    x = 142,146.84/367.53
  6. Step 6: Final answer
    x = 386.76

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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.