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Finding the Fourth Proportional to 486.62, 671.48 and 290.09

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Solution

The fourth proportional to 486.62, 671.48 and 290.09 is: 400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.62 : 671.48 = 290.09 : x
  2. Step 2: Convert to fraction form
    486.62/671.48 = 290.09/x
  3. Step 3: Cross multiply
    486.62x = 671.48 × 290.09
  4. Step 4: Simplify right side
    486.62x = 194,789.63
  5. Step 5: Solve for x
    x = 194,789.63/486.62
  6. Step 6: Final answer
    x = 400.29

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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.