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Finding the Fourth Proportional to 437.73, 603.91 and 280.38

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Solution

The fourth proportional to 437.73, 603.91 and 280.38 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.73 : 603.91 = 280.38 : x
  2. Step 2: Convert to fraction form
    437.73/603.91 = 280.38/x
  3. Step 3: Cross multiply
    437.73x = 603.91 × 280.38
  4. Step 4: Simplify right side
    437.73x = 169,325.09
  5. Step 5: Solve for x
    x = 169,325.09/437.73
  6. Step 6: Final answer
    x = 386.83

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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.