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Finding the Fourth Proportional to 442.60, 664.23 and 168.78

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Solution

The fourth proportional to 442.60, 664.23 and 168.78 is: 253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 664.23 = 168.78 : x
  2. Step 2: Convert to fraction form
    442.60/664.23 = 168.78/x
  3. Step 3: Cross multiply
    442.60x = 664.23 × 168.78
  4. Step 4: Simplify right side
    442.60x = 112,108.74
  5. Step 5: Solve for x
    x = 112,108.74/442.60
  6. Step 6: Final answer
    x = 253.30

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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.