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Finding the Fourth Proportional to 537.81, 742.20 and 304.92

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Solution

The fourth proportional to 537.81, 742.20 and 304.92 is: 420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.81 : 742.20 = 304.92 : x
  2. Step 2: Convert to fraction form
    537.81/742.20 = 304.92/x
  3. Step 3: Cross multiply
    537.81x = 742.20 × 304.92
  4. Step 4: Simplify right side
    537.81x = 226,311.62
  5. Step 5: Solve for x
    x = 226,311.62/537.81
  6. Step 6: Final answer
    x = 420.80

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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.