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Finding the Fourth Proportional to 393.81, 590.91 and 257.19

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Solution

The fourth proportional to 393.81, 590.91 and 257.19 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.81 : 590.91 = 257.19 : x
  2. Step 2: Convert to fraction form
    393.81/590.91 = 257.19/x
  3. Step 3: Cross multiply
    393.81x = 590.91 × 257.19
  4. Step 4: Simplify right side
    393.81x = 151,976.14
  5. Step 5: Solve for x
    x = 151,976.14/393.81
  6. Step 6: Final answer
    x = 385.91

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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.