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Finding the Fourth Proportional to 333.72, 496.92 and 330.05

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Solution

The fourth proportional to 333.72, 496.92 and 330.05 is: 491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.72 : 496.92 = 330.05 : x
  2. Step 2: Convert to fraction form
    333.72/496.92 = 330.05/x
  3. Step 3: Cross multiply
    333.72x = 496.92 × 330.05
  4. Step 4: Simplify right side
    333.72x = 164,005.96
  5. Step 5: Solve for x
    x = 164,005.96/333.72
  6. Step 6: Final answer
    x = 491.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.