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Finding the Fourth Proportional to 333.68, 497.93 and 331.43

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Solution

The fourth proportional to 333.68, 497.93 and 331.43 is: 494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.68 : 497.93 = 331.43 : x
  2. Step 2: Convert to fraction form
    333.68/497.93 = 331.43/x
  3. Step 3: Cross multiply
    333.68x = 497.93 × 331.43
  4. Step 4: Simplify right side
    333.68x = 165,024.79
  5. Step 5: Solve for x
    x = 165,024.79/333.68
  6. Step 6: Final answer
    x = 494.57

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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.