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Finding the Fourth Proportional to 537.02, 803.92 and 330.92

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Solution

The fourth proportional to 537.02, 803.92 and 330.92 is: 495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.02 : 803.92 = 330.92 : x
  2. Step 2: Convert to fraction form
    537.02/803.92 = 330.92/x
  3. Step 3: Cross multiply
    537.02x = 803.92 × 330.92
  4. Step 4: Simplify right side
    537.02x = 266,033.21
  5. Step 5: Solve for x
    x = 266,033.21/537.02
  6. Step 6: Final answer
    x = 495.39

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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.