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Finding the Fourth Proportional to 389.25, 536.24 and 327.09

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Solution

The fourth proportional to 389.25, 536.24 and 327.09 is: 450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.25 : 536.24 = 327.09 : x
  2. Step 2: Convert to fraction form
    389.25/536.24 = 327.09/x
  3. Step 3: Cross multiply
    389.25x = 536.24 × 327.09
  4. Step 4: Simplify right side
    389.25x = 175,397.11
  5. Step 5: Solve for x
    x = 175,397.11/389.25
  6. Step 6: Final answer
    x = 450.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.