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Finding the Fourth Proportional to 335.20, 462.55 and 230.38

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Solution

The fourth proportional to 335.20, 462.55 and 230.38 is: 317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.20 : 462.55 = 230.38 : x
  2. Step 2: Convert to fraction form
    335.20/462.55 = 230.38/x
  3. Step 3: Cross multiply
    335.20x = 462.55 × 230.38
  4. Step 4: Simplify right side
    335.20x = 106,562.27
  5. Step 5: Solve for x
    x = 106,562.27/335.20
  6. Step 6: Final answer
    x = 317.91

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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.