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Finding the Fourth Proportional to 536.72, 803.33 and 331.46

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Solution

The fourth proportional to 536.72, 803.33 and 331.46 is: 496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.72 : 803.33 = 331.46 : x
  2. Step 2: Convert to fraction form
    536.72/803.33 = 331.46/x
  3. Step 3: Cross multiply
    536.72x = 803.33 × 331.46
  4. Step 4: Simplify right side
    536.72x = 266,266.09
  5. Step 5: Solve for x
    x = 266,266.09/536.72
  6. Step 6: Final answer
    x = 496.10

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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.