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Finding the Fourth Proportional to 330.67, 496.69 and 253.37

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Solution

The fourth proportional to 330.67, 496.69 and 253.37 is: 380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.67 : 496.69 = 253.37 : x
  2. Step 2: Convert to fraction form
    330.67/496.69 = 253.37/x
  3. Step 3: Cross multiply
    330.67x = 496.69 × 253.37
  4. Step 4: Simplify right side
    330.67x = 125,846.35
  5. Step 5: Solve for x
    x = 125,846.35/330.67
  6. Step 6: Final answer
    x = 380.58

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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.