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Finding the Fourth Proportional to 193.43, 290.17 and 89.31

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Solution

The fourth proportional to 193.43, 290.17 and 89.31 is: 133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.43 : 290.17 = 89.31 : x
  2. Step 2: Convert to fraction form
    193.43/290.17 = 89.31/x
  3. Step 3: Cross multiply
    193.43x = 290.17 × 89.31
  4. Step 4: Simplify right side
    193.43x = 25,916.28
  5. Step 5: Solve for x
    x = 25,916.28/193.43
  6. Step 6: Final answer
    x = 133.99

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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.