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Finding the Fourth Proportional to 367.90, 506.78 and 315.28

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Solution

The fourth proportional to 367.90, 506.78 and 315.28 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.90 : 506.78 = 315.28 : x
  2. Step 2: Convert to fraction form
    367.90/506.78 = 315.28/x
  3. Step 3: Cross multiply
    367.90x = 506.78 × 315.28
  4. Step 4: Simplify right side
    367.90x = 159,777.60
  5. Step 5: Solve for x
    x = 159,777.60/367.90
  6. Step 6: Final answer
    x = 434.30

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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.