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Finding the Fourth Proportional to 192.90, 289.22 and 88.74

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Solution

The fourth proportional to 192.90, 289.22 and 88.74 is: 133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.90 : 289.22 = 88.74 : x
  2. Step 2: Convert to fraction form
    192.90/289.22 = 88.74/x
  3. Step 3: Cross multiply
    192.90x = 289.22 × 88.74
  4. Step 4: Simplify right side
    192.90x = 25,664.62
  5. Step 5: Solve for x
    x = 25,664.62/192.90
  6. Step 6: Final answer
    x = 133.05

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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.