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Finding the Fourth Proportional to 442.34, 663.14 and 195.36

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Solution

The fourth proportional to 442.34, 663.14 and 195.36 is: 292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.34 : 663.14 = 195.36 : x
  2. Step 2: Convert to fraction form
    442.34/663.14 = 195.36/x
  3. Step 3: Cross multiply
    442.34x = 663.14 × 195.36
  4. Step 4: Simplify right side
    442.34x = 129,550.05
  5. Step 5: Solve for x
    x = 129,550.05/442.34
  6. Step 6: Final answer
    x = 292.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.