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Finding the Fourth Proportional to 331.46, 497.48 and 194.31

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Solution

The fourth proportional to 331.46, 497.48 and 194.31 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.46 : 497.48 = 194.31 : x
  2. Step 2: Convert to fraction form
    331.46/497.48 = 194.31/x
  3. Step 3: Cross multiply
    331.46x = 497.48 × 194.31
  4. Step 4: Simplify right side
    331.46x = 96,664.37
  5. Step 5: Solve for x
    x = 96,664.37/331.46
  6. Step 6: Final answer
    x = 291.64

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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.