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Finding the Fourth Proportional to 537.20, 741.56 and 327.32

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Solution

The fourth proportional to 537.20, 741.56 and 327.32 is: 451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.20 : 741.56 = 327.32 : x
  2. Step 2: Convert to fraction form
    537.20/741.56 = 327.32/x
  3. Step 3: Cross multiply
    537.20x = 741.56 × 327.32
  4. Step 4: Simplify right side
    537.20x = 242,727.42
  5. Step 5: Solve for x
    x = 242,727.42/537.20
  6. Step 6: Final answer
    x = 451.84

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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.