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Finding the Fourth Proportional to 330.41, 497.88 and 273.90

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Solution

The fourth proportional to 330.41, 497.88 and 273.90 is: 412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.41 : 497.88 = 273.90 : x
  2. Step 2: Convert to fraction form
    330.41/497.88 = 273.90/x
  3. Step 3: Cross multiply
    330.41x = 497.88 × 273.90
  4. Step 4: Simplify right side
    330.41x = 136,369.33
  5. Step 5: Solve for x
    x = 136,369.33/330.41
  6. Step 6: Final answer
    x = 412.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.