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Finding the Fourth Proportional to 398.22, 593.97 and 386.07

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Solution

The fourth proportional to 398.22, 593.97 and 386.07 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.22 : 593.97 = 386.07 : x
  2. Step 2: Convert to fraction form
    398.22/593.97 = 386.07/x
  3. Step 3: Cross multiply
    398.22x = 593.97 × 386.07
  4. Step 4: Simplify right side
    398.22x = 229,314.00
  5. Step 5: Solve for x
    x = 229,314.00/398.22
  6. Step 6: Final answer
    x = 575.85

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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.