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Finding the Fourth Proportional to 355.11, 490.15 and 230.78

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Solution

The fourth proportional to 355.11, 490.15 and 230.78 is: 318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.11 : 490.15 = 230.78 : x
  2. Step 2: Convert to fraction form
    355.11/490.15 = 230.78/x
  3. Step 3: Cross multiply
    355.11x = 490.15 × 230.78
  4. Step 4: Simplify right side
    355.11x = 113,116.49
  5. Step 5: Solve for x
    x = 113,116.49/355.11
  6. Step 6: Final answer
    x = 318.54

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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.