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Finding the Fourth Proportional to 290.72, 400.95 and 180.09

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Solution

The fourth proportional to 290.72, 400.95 and 180.09 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.72 : 400.95 = 180.09 : x
  2. Step 2: Convert to fraction form
    290.72/400.95 = 180.09/x
  3. Step 3: Cross multiply
    290.72x = 400.95 × 180.09
  4. Step 4: Simplify right side
    290.72x = 72,207.09
  5. Step 5: Solve for x
    x = 72,207.09/290.72
  6. Step 6: Final answer
    x = 248.37

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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.