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Finding the Fourth Proportional to 320.82, 442.86 and 204.39

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Solution

The fourth proportional to 320.82, 442.86 and 204.39 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.82 : 442.86 = 204.39 : x
  2. Step 2: Convert to fraction form
    320.82/442.86 = 204.39/x
  3. Step 3: Cross multiply
    320.82x = 442.86 × 204.39
  4. Step 4: Simplify right side
    320.82x = 90,513.94
  5. Step 5: Solve for x
    x = 90,513.94/320.82
  6. Step 6: Final answer
    x = 282.14

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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.