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Finding the Fourth Proportional to 320.68, 442.42 and 189.60

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Solution

The fourth proportional to 320.68, 442.42 and 189.60 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.68 : 442.42 = 189.60 : x
  2. Step 2: Convert to fraction form
    320.68/442.42 = 189.60/x
  3. Step 3: Cross multiply
    320.68x = 442.42 × 189.60
  4. Step 4: Simplify right side
    320.68x = 83,882.83
  5. Step 5: Solve for x
    x = 83,882.83/320.68
  6. Step 6: Final answer
    x = 261.58

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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.