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Finding the Fourth Proportional to 443.20, 611.50 and 285.70

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Solution

The fourth proportional to 443.20, 611.50 and 285.70 is: 394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.20 : 611.50 = 285.70 : x
  2. Step 2: Convert to fraction form
    443.20/611.50 = 285.70/x
  3. Step 3: Cross multiply
    443.20x = 611.50 × 285.70
  4. Step 4: Simplify right side
    443.20x = 174,704.12
  5. Step 5: Solve for x
    x = 174,704.12/443.20
  6. Step 6: Final answer
    x = 394.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.