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Finding the Fourth Proportional to 327.40, 451.24 and 265

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Solution

The fourth proportional to 327.40, 451.24 and 265 is: 365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.40 : 451.24 = 265 : x
  2. Step 2: Convert to fraction form
    327.40/451.24 = 265/x
  3. Step 3: Cross multiply
    327.40x = 451.24 × 265
  4. Step 4: Simplify right side
    327.40x = 119,578.60
  5. Step 5: Solve for x
    x = 119,578.60/327.40
  6. Step 6: Final answer
    x = 365.24

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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.