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Finding the Fourth Proportional to 333.73, 497.07 and 331.93

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Solution

The fourth proportional to 333.73, 497.07 and 331.93 is: 494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.73 : 497.07 = 331.93 : x
  2. Step 2: Convert to fraction form
    333.73/497.07 = 331.93/x
  3. Step 3: Cross multiply
    333.73x = 497.07 × 331.93
  4. Step 4: Simplify right side
    333.73x = 164,992.45
  5. Step 5: Solve for x
    x = 164,992.45/333.73
  6. Step 6: Final answer
    x = 494.39

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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.