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Finding the Fourth Proportional to 331.97, 497.79 and 126.47

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Solution

The fourth proportional to 331.97, 497.79 and 126.47 is: 189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 497.79 = 126.47 : x
  2. Step 2: Convert to fraction form
    331.97/497.79 = 126.47/x
  3. Step 3: Cross multiply
    331.97x = 497.79 × 126.47
  4. Step 4: Simplify right side
    331.97x = 62,955.50
  5. Step 5: Solve for x
    x = 62,955.50/331.97
  6. Step 6: Final answer
    x = 189.64

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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.