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Finding the Fourth Proportional to 537.12, 741.23 and 327.27

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Solution

The fourth proportional to 537.12, 741.23 and 327.27 is: 451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.12 : 741.23 = 327.27 : x
  2. Step 2: Convert to fraction form
    537.12/741.23 = 327.27/x
  3. Step 3: Cross multiply
    537.12x = 741.23 × 327.27
  4. Step 4: Simplify right side
    537.12x = 242,583.77
  5. Step 5: Solve for x
    x = 242,583.77/537.12
  6. Step 6: Final answer
    x = 451.64

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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.