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Finding the Fourth Proportional to 290.73, 436.22 and 136.73

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Solution

The fourth proportional to 290.73, 436.22 and 136.73 is: 205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.73 : 436.22 = 136.73 : x
  2. Step 2: Convert to fraction form
    290.73/436.22 = 136.73/x
  3. Step 3: Cross multiply
    290.73x = 436.22 × 136.73
  4. Step 4: Simplify right side
    290.73x = 59,645.28
  5. Step 5: Solve for x
    x = 59,645.28/290.73
  6. Step 6: Final answer
    x = 205.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.