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Finding the Fourth Proportional to 193.56, 290.36 and 96.16

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Solution

The fourth proportional to 193.56, 290.36 and 96.16 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 290.36 = 96.16 : x
  2. Step 2: Convert to fraction form
    193.56/290.36 = 96.16/x
  3. Step 3: Cross multiply
    193.56x = 290.36 × 96.16
  4. Step 4: Simplify right side
    193.56x = 27,921.02
  5. Step 5: Solve for x
    x = 27,921.02/193.56
  6. Step 6: Final answer
    x = 144.25

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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.