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Finding the Fourth Proportional to 331.77, 496.77 and 266.46

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Solution

The fourth proportional to 331.77, 496.77 and 266.46 is: 398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.77 : 496.77 = 266.46 : x
  2. Step 2: Convert to fraction form
    331.77/496.77 = 266.46/x
  3. Step 3: Cross multiply
    331.77x = 496.77 × 266.46
  4. Step 4: Simplify right side
    331.77x = 132,369.33
  5. Step 5: Solve for x
    x = 132,369.33/331.77
  6. Step 6: Final answer
    x = 398.98

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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.