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Finding the Fourth Proportional to 320.38, 442.34 and 196.17

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Solution

The fourth proportional to 320.38, 442.34 and 196.17 is: 270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.38 : 442.34 = 196.17 : x
  2. Step 2: Convert to fraction form
    320.38/442.34 = 196.17/x
  3. Step 3: Cross multiply
    320.38x = 442.34 × 196.17
  4. Step 4: Simplify right side
    320.38x = 86,771.07
  5. Step 5: Solve for x
    x = 86,771.07/320.38
  6. Step 6: Final answer
    x = 270.84

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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.