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Finding the Fourth Proportional to 393.20, 585.91 and 350.14

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Solution

The fourth proportional to 393.20, 585.91 and 350.14 is: 521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.20 : 585.91 = 350.14 : x
  2. Step 2: Convert to fraction form
    393.20/585.91 = 350.14/x
  3. Step 3: Cross multiply
    393.20x = 585.91 × 350.14
  4. Step 4: Simplify right side
    393.20x = 205,148.19
  5. Step 5: Solve for x
    x = 205,148.19/393.20
  6. Step 6: Final answer
    x = 521.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.