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Finding the Fourth Proportional to 442.47, 664.01 and 153.91

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Solution

The fourth proportional to 442.47, 664.01 and 153.91 is: 230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.47 : 664.01 = 153.91 : x
  2. Step 2: Convert to fraction form
    442.47/664.01 = 153.91/x
  3. Step 3: Cross multiply
    442.47x = 664.01 × 153.91
  4. Step 4: Simplify right side
    442.47x = 102,195.73
  5. Step 5: Solve for x
    x = 102,195.73/442.47
  6. Step 6: Final answer
    x = 230.97

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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.