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Finding the Fourth Proportional to 290.20, 400.54 and 179.72

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Solution

The fourth proportional to 290.20, 400.54 and 179.72 is: 248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.20 : 400.54 = 179.72 : x
  2. Step 2: Convert to fraction form
    290.20/400.54 = 179.72/x
  3. Step 3: Cross multiply
    290.20x = 400.54 × 179.72
  4. Step 4: Simplify right side
    290.20x = 71,985.05
  5. Step 5: Solve for x
    x = 71,985.05/290.20
  6. Step 6: Final answer
    x = 248.05

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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.