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Finding the Fourth Proportional to 320.35, 442.06 and 195.96

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Solution

The fourth proportional to 320.35, 442.06 and 195.96 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.35 : 442.06 = 195.96 : x
  2. Step 2: Convert to fraction form
    320.35/442.06 = 195.96/x
  3. Step 3: Cross multiply
    320.35x = 442.06 × 195.96
  4. Step 4: Simplify right side
    320.35x = 86,626.08
  5. Step 5: Solve for x
    x = 86,626.08/320.35
  6. Step 6: Final answer
    x = 270.41

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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.