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Finding the Fourth Proportional to 441.23, 662.08 and 287.12

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Solution

The fourth proportional to 441.23, 662.08 and 287.12 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.23 : 662.08 = 287.12 : x
  2. Step 2: Convert to fraction form
    441.23/662.08 = 287.12/x
  3. Step 3: Cross multiply
    441.23x = 662.08 × 287.12
  4. Step 4: Simplify right side
    441.23x = 190,096.41
  5. Step 5: Solve for x
    x = 190,096.41/441.23
  6. Step 6: Final answer
    x = 430.83

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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.