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Finding the Fourth Proportional to 603.39, 905.37 and 278.82

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Solution

The fourth proportional to 603.39, 905.37 and 278.82 is: 418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.39 : 905.37 = 278.82 : x
  2. Step 2: Convert to fraction form
    603.39/905.37 = 278.82/x
  3. Step 3: Cross multiply
    603.39x = 905.37 × 278.82
  4. Step 4: Simplify right side
    603.39x = 252,435.26
  5. Step 5: Solve for x
    x = 252,435.26/603.39
  6. Step 6: Final answer
    x = 418.36

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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.