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Finding the Fourth Proportional to 193.98, 290.28 and 136.07

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Solution

The fourth proportional to 193.98, 290.28 and 136.07 is: 203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.98 : 290.28 = 136.07 : x
  2. Step 2: Convert to fraction form
    193.98/290.28 = 136.07/x
  3. Step 3: Cross multiply
    193.98x = 290.28 × 136.07
  4. Step 4: Simplify right side
    193.98x = 39,498.40
  5. Step 5: Solve for x
    x = 39,498.40/193.98
  6. Step 6: Final answer
    x = 203.62

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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.