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Finding the Fourth Proportional to 442.11, 663.20 and 117.47

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Solution

The fourth proportional to 442.11, 663.20 and 117.47 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.11 : 663.20 = 117.47 : x
  2. Step 2: Convert to fraction form
    442.11/663.20 = 117.47/x
  3. Step 3: Cross multiply
    442.11x = 663.20 × 117.47
  4. Step 4: Simplify right side
    442.11x = 77,906.10
  5. Step 5: Solve for x
    x = 77,906.10/442.11
  6. Step 6: Final answer
    x = 176.21

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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.