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Finding the Fourth Proportional to 443.10, 664.05 and 314.70

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Solution

The fourth proportional to 443.10, 664.05 and 314.70 is: 471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.10 : 664.05 = 314.70 : x
  2. Step 2: Convert to fraction form
    443.10/664.05 = 314.70/x
  3. Step 3: Cross multiply
    443.10x = 664.05 × 314.70
  4. Step 4: Simplify right side
    443.10x = 208,976.54
  5. Step 5: Solve for x
    x = 208,976.54/443.10
  6. Step 6: Final answer
    x = 471.62

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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.