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Finding the Fourth Proportional to 331.72, 456.54 and 290.38

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Solution

The fourth proportional to 331.72, 456.54 and 290.38 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.72 : 456.54 = 290.38 : x
  2. Step 2: Convert to fraction form
    331.72/456.54 = 290.38/x
  3. Step 3: Cross multiply
    331.72x = 456.54 × 290.38
  4. Step 4: Simplify right side
    331.72x = 132,570.09
  5. Step 5: Solve for x
    x = 132,570.09/331.72
  6. Step 6: Final answer
    x = 399.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.