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Finding the Fourth Proportional to 393.62, 587.25 and 364.22

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Solution

The fourth proportional to 393.62, 587.25 and 364.22 is: 543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.62 : 587.25 = 364.22 : x
  2. Step 2: Convert to fraction form
    393.62/587.25 = 364.22/x
  3. Step 3: Cross multiply
    393.62x = 587.25 × 364.22
  4. Step 4: Simplify right side
    393.62x = 213,885.26
  5. Step 5: Solve for x
    x = 213,885.26/393.62
  6. Step 6: Final answer
    x = 543.39

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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.