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Finding the Fourth Proportional to 319.60, 441.18 and 203.08

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Solution

The fourth proportional to 319.60, 441.18 and 203.08 is: 280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.60 : 441.18 = 203.08 : x
  2. Step 2: Convert to fraction form
    319.60/441.18 = 203.08/x
  3. Step 3: Cross multiply
    319.60x = 441.18 × 203.08
  4. Step 4: Simplify right side
    319.60x = 89,594.83
  5. Step 5: Solve for x
    x = 89,594.83/319.60
  6. Step 6: Final answer
    x = 280.33

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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.