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Finding the Fourth Proportional to 394.28, 590.22 and 257.04

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Solution

The fourth proportional to 394.28, 590.22 and 257.04 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.28 : 590.22 = 257.04 : x
  2. Step 2: Convert to fraction form
    394.28/590.22 = 257.04/x
  3. Step 3: Cross multiply
    394.28x = 590.22 × 257.04
  4. Step 4: Simplify right side
    394.28x = 151,710.15
  5. Step 5: Solve for x
    x = 151,710.15/394.28
  6. Step 6: Final answer
    x = 384.78

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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.