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Finding the Fourth Proportional to 367.88, 508.02 and 230.12

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Solution

The fourth proportional to 367.88, 508.02 and 230.12 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 508.02 = 230.12 : x
  2. Step 2: Convert to fraction form
    367.88/508.02 = 230.12/x
  3. Step 3: Cross multiply
    367.88x = 508.02 × 230.12
  4. Step 4: Simplify right side
    367.88x = 116,905.56
  5. Step 5: Solve for x
    x = 116,905.56/367.88
  6. Step 6: Final answer
    x = 317.78

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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.