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Finding the Fourth Proportional to 333.20, 497.55 and 331.17

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Solution

The fourth proportional to 333.20, 497.55 and 331.17 is: 494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.20 : 497.55 = 331.17 : x
  2. Step 2: Convert to fraction form
    333.20/497.55 = 331.17/x
  3. Step 3: Cross multiply
    333.20x = 497.55 × 331.17
  4. Step 4: Simplify right side
    333.20x = 164,773.63
  5. Step 5: Solve for x
    x = 164,773.63/333.20
  6. Step 6: Final answer
    x = 494.53

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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.