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Finding the Fourth Proportional to 331.89, 497.71 and 126.51

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Solution

The fourth proportional to 331.89, 497.71 and 126.51 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.89 : 497.71 = 126.51 : x
  2. Step 2: Convert to fraction form
    331.89/497.71 = 126.51/x
  3. Step 3: Cross multiply
    331.89x = 497.71 × 126.51
  4. Step 4: Simplify right side
    331.89x = 62,964.66
  5. Step 5: Solve for x
    x = 62,964.66/331.89
  6. Step 6: Final answer
    x = 189.72

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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.