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Finding the Fourth Proportional to 290.05, 400.48 and 179.62

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Solution

The fourth proportional to 290.05, 400.48 and 179.62 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.05 : 400.48 = 179.62 : x
  2. Step 2: Convert to fraction form
    290.05/400.48 = 179.62/x
  3. Step 3: Cross multiply
    290.05x = 400.48 × 179.62
  4. Step 4: Simplify right side
    290.05x = 71,932.77
  5. Step 5: Solve for x
    x = 71,932.77/290.05
  6. Step 6: Final answer
    x = 248.00

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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.