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Finding the Fourth Proportional to 330.89, 494.10 and 270.14

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Solution

The fourth proportional to 330.89, 494.10 and 270.14 is: 403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.89 : 494.10 = 270.14 : x
  2. Step 2: Convert to fraction form
    330.89/494.10 = 270.14/x
  3. Step 3: Cross multiply
    330.89x = 494.10 × 270.14
  4. Step 4: Simplify right side
    330.89x = 133,473.70
  5. Step 5: Solve for x
    x = 133,473.70/330.89
  6. Step 6: Final answer
    x = 403.38

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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.