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Finding the Fourth Proportional to 331.02, 496.13 and 148.37

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Solution

The fourth proportional to 331.02, 496.13 and 148.37 is: 222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.02 : 496.13 = 148.37 : x
  2. Step 2: Convert to fraction form
    331.02/496.13 = 148.37/x
  3. Step 3: Cross multiply
    331.02x = 496.13 × 148.37
  4. Step 4: Simplify right side
    331.02x = 73,607.59
  5. Step 5: Solve for x
    x = 73,607.59/331.02
  6. Step 6: Final answer
    x = 222.37

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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.