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Finding the Fourth Proportional to 319.82, 441.17 and 275.74

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Solution

The fourth proportional to 319.82, 441.17 and 275.74 is: 380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.82 : 441.17 = 275.74 : x
  2. Step 2: Convert to fraction form
    319.82/441.17 = 275.74/x
  3. Step 3: Cross multiply
    319.82x = 441.17 × 275.74
  4. Step 4: Simplify right side
    319.82x = 121,648.22
  5. Step 5: Solve for x
    x = 121,648.22/319.82
  6. Step 6: Final answer
    x = 380.36

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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.