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Finding the Fourth Proportional to 331.82, 497.81 and 194.99

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Solution

The fourth proportional to 331.82, 497.81 and 194.99 is: 292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.82 : 497.81 = 194.99 : x
  2. Step 2: Convert to fraction form
    331.82/497.81 = 194.99/x
  3. Step 3: Cross multiply
    331.82x = 497.81 × 194.99
  4. Step 4: Simplify right side
    331.82x = 97,064.51
  5. Step 5: Solve for x
    x = 97,064.51/331.82
  6. Step 6: Final answer
    x = 292.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.