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Finding the Fourth Proportional to 290.75, 435.89 and 136.60

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Solution

The fourth proportional to 290.75, 435.89 and 136.60 is: 204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.75 : 435.89 = 136.60 : x
  2. Step 2: Convert to fraction form
    290.75/435.89 = 136.60/x
  3. Step 3: Cross multiply
    290.75x = 435.89 × 136.60
  4. Step 4: Simplify right side
    290.75x = 59,542.57
  5. Step 5: Solve for x
    x = 59,542.57/290.75
  6. Step 6: Final answer
    x = 204.79

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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.