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Finding the Fourth Proportional to 330.38, 493.09 and 286.79

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Solution

The fourth proportional to 330.38, 493.09 and 286.79 is: 428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 493.09 = 286.79 : x
  2. Step 2: Convert to fraction form
    330.38/493.09 = 286.79/x
  3. Step 3: Cross multiply
    330.38x = 493.09 × 286.79
  4. Step 4: Simplify right side
    330.38x = 141,412.87
  5. Step 5: Solve for x
    x = 141,412.87/330.38
  6. Step 6: Final answer
    x = 428.03

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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.