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Finding the Fourth Proportional to 537.02, 804.96 and 194.78

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Solution

The fourth proportional to 537.02, 804.96 and 194.78 is: 291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.02 : 804.96 = 194.78 : x
  2. Step 2: Convert to fraction form
    537.02/804.96 = 194.78/x
  3. Step 3: Cross multiply
    537.02x = 804.96 × 194.78
  4. Step 4: Simplify right side
    537.02x = 156,790.11
  5. Step 5: Solve for x
    x = 156,790.11/537.02
  6. Step 6: Final answer
    x = 291.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.