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Finding the Fourth Proportional to 537.56, 741.85 and 298.29

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Solution

The fourth proportional to 537.56, 741.85 and 298.29 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 741.85 = 298.29 : x
  2. Step 2: Convert to fraction form
    537.56/741.85 = 298.29/x
  3. Step 3: Cross multiply
    537.56x = 741.85 × 298.29
  4. Step 4: Simplify right side
    537.56x = 221,286.44
  5. Step 5: Solve for x
    x = 221,286.44/537.56
  6. Step 6: Final answer
    x = 411.65

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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.