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Finding the Fourth Proportional to 443.14, 611.18 and 285.78

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Solution

The fourth proportional to 443.14, 611.18 and 285.78 is: 394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.14 : 611.18 = 285.78 : x
  2. Step 2: Convert to fraction form
    443.14/611.18 = 285.78/x
  3. Step 3: Cross multiply
    443.14x = 611.18 × 285.78
  4. Step 4: Simplify right side
    443.14x = 174,664.96
  5. Step 5: Solve for x
    x = 174,664.96/443.14
  6. Step 6: Final answer
    x = 394.16

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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.