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Finding the Fourth Proportional to 393.96, 588.09 and 365.47

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Solution

The fourth proportional to 393.96, 588.09 and 365.47 is: 545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.96 : 588.09 = 365.47 : x
  2. Step 2: Convert to fraction form
    393.96/588.09 = 365.47/x
  3. Step 3: Cross multiply
    393.96x = 588.09 × 365.47
  4. Step 4: Simplify right side
    393.96x = 214,929.25
  5. Step 5: Solve for x
    x = 214,929.25/393.96
  6. Step 6: Final answer
    x = 545.56

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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.