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Finding the Fourth Proportional to 330.33, 494.76 and 192.96

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Solution

The fourth proportional to 330.33, 494.76 and 192.96 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.33 : 494.76 = 192.96 : x
  2. Step 2: Convert to fraction form
    330.33/494.76 = 192.96/x
  3. Step 3: Cross multiply
    330.33x = 494.76 × 192.96
  4. Step 4: Simplify right side
    330.33x = 95,468.89
  5. Step 5: Solve for x
    x = 95,468.89/330.33
  6. Step 6: Final answer
    x = 289.01

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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.