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Finding the Fourth Proportional to 320.75, 442.56 and 189.73

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Solution

The fourth proportional to 320.75, 442.56 and 189.73 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.75 : 442.56 = 189.73 : x
  2. Step 2: Convert to fraction form
    320.75/442.56 = 189.73/x
  3. Step 3: Cross multiply
    320.75x = 442.56 × 189.73
  4. Step 4: Simplify right side
    320.75x = 83,966.91
  5. Step 5: Solve for x
    x = 83,966.91/320.75
  6. Step 6: Final answer
    x = 261.78

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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.