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Finding the Fourth Proportional to 442.59, 664.16 and 168.70

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Solution

The fourth proportional to 442.59, 664.16 and 168.70 is: 253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.59 : 664.16 = 168.70 : x
  2. Step 2: Convert to fraction form
    442.59/664.16 = 168.70/x
  3. Step 3: Cross multiply
    442.59x = 664.16 × 168.70
  4. Step 4: Simplify right side
    442.59x = 112,043.79
  5. Step 5: Solve for x
    x = 112,043.79/442.59
  6. Step 6: Final answer
    x = 253.15

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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.