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Finding the Fourth Proportional to 441.10, 662.06 and 319.60

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Solution

The fourth proportional to 441.10, 662.06 and 319.60 is: 479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.10 : 662.06 = 319.60 : x
  2. Step 2: Convert to fraction form
    441.10/662.06 = 319.60/x
  3. Step 3: Cross multiply
    441.10x = 662.06 × 319.60
  4. Step 4: Simplify right side
    441.10x = 211,594.38
  5. Step 5: Solve for x
    x = 211,594.38/441.10
  6. Step 6: Final answer
    x = 479.70

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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.