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Finding the Fourth Proportional to 319.92, 441.54 and 203.52

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Solution

The fourth proportional to 319.92, 441.54 and 203.52 is: 280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.92 : 441.54 = 203.52 : x
  2. Step 2: Convert to fraction form
    319.92/441.54 = 203.52/x
  3. Step 3: Cross multiply
    319.92x = 441.54 × 203.52
  4. Step 4: Simplify right side
    319.92x = 89,862.22
  5. Step 5: Solve for x
    x = 89,862.22/319.92
  6. Step 6: Final answer
    x = 280.89

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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.