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Finding the Fourth Proportional to 301.24, 415.98 and 203

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Solution

The fourth proportional to 301.24, 415.98 and 203 is: 280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.24 : 415.98 = 203 : x
  2. Step 2: Convert to fraction form
    301.24/415.98 = 203/x
  3. Step 3: Cross multiply
    301.24x = 415.98 × 203
  4. Step 4: Simplify right side
    301.24x = 84,443.94
  5. Step 5: Solve for x
    x = 84,443.94/301.24
  6. Step 6: Final answer
    x = 280.32

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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.