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Finding the Fourth Proportional to 537.21, 805.08 and 331.35

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Solution

The fourth proportional to 537.21, 805.08 and 331.35 is: 496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.21 : 805.08 = 331.35 : x
  2. Step 2: Convert to fraction form
    537.21/805.08 = 331.35/x
  3. Step 3: Cross multiply
    537.21x = 805.08 × 331.35
  4. Step 4: Simplify right side
    537.21x = 266,763.26
  5. Step 5: Solve for x
    x = 266,763.26/537.21
  6. Step 6: Final answer
    x = 496.57

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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.