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Finding the Fourth Proportional to 426.14, 638.81 and 230.85

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Solution

The fourth proportional to 426.14, 638.81 and 230.85 is: 346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.14 : 638.81 = 230.85 : x
  2. Step 2: Convert to fraction form
    426.14/638.81 = 230.85/x
  3. Step 3: Cross multiply
    426.14x = 638.81 × 230.85
  4. Step 4: Simplify right side
    426.14x = 147,468.13
  5. Step 5: Solve for x
    x = 147,468.13/426.14
  6. Step 6: Final answer
    x = 346.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.