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Finding the Fourth Proportional to 367.68, 506.13 and 317.87

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Solution

The fourth proportional to 367.68, 506.13 and 317.87 is: 437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.68 : 506.13 = 317.87 : x
  2. Step 2: Convert to fraction form
    367.68/506.13 = 317.87/x
  3. Step 3: Cross multiply
    367.68x = 506.13 × 317.87
  4. Step 4: Simplify right side
    367.68x = 160,882.91
  5. Step 5: Solve for x
    x = 160,882.91/367.68
  6. Step 6: Final answer
    x = 437.56

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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.