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Finding the Fourth Proportional to 394.28, 590.22 and 257.03

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Solution

The fourth proportional to 394.28, 590.22 and 257.03 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.28 : 590.22 = 257.03 : x
  2. Step 2: Convert to fraction form
    394.28/590.22 = 257.03/x
  3. Step 3: Cross multiply
    394.28x = 590.22 × 257.03
  4. Step 4: Simplify right side
    394.28x = 151,704.25
  5. Step 5: Solve for x
    x = 151,704.25/394.28
  6. Step 6: Final answer
    x = 384.76

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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.