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Finding the Fourth Proportional to 320.58, 442.71 and 196.31

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Solution

The fourth proportional to 320.58, 442.71 and 196.31 is: 271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.58 : 442.71 = 196.31 : x
  2. Step 2: Convert to fraction form
    320.58/442.71 = 196.31/x
  3. Step 3: Cross multiply
    320.58x = 442.71 × 196.31
  4. Step 4: Simplify right side
    320.58x = 86,906.19
  5. Step 5: Solve for x
    x = 86,906.19/320.58
  6. Step 6: Final answer
    x = 271.09

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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.