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Finding the Fourth Proportional to 192.60, 290.24 and 173.36

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Solution

The fourth proportional to 192.60, 290.24 and 173.36 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 290.24 = 173.36 : x
  2. Step 2: Convert to fraction form
    192.60/290.24 = 173.36/x
  3. Step 3: Cross multiply
    192.60x = 290.24 × 173.36
  4. Step 4: Simplify right side
    192.60x = 50,317.17
  5. Step 5: Solve for x
    x = 50,317.17/192.60
  6. Step 6: Final answer
    x = 261.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.