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Finding the Fourth Proportional to 192.92, 289.20 and 90.15

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Solution

The fourth proportional to 192.92, 289.20 and 90.15 is: 135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.92 : 289.20 = 90.15 : x
  2. Step 2: Convert to fraction form
    192.92/289.20 = 90.15/x
  3. Step 3: Cross multiply
    192.92x = 289.20 × 90.15
  4. Step 4: Simplify right side
    192.92x = 26,070.93
  5. Step 5: Solve for x
    x = 26,070.93/192.92
  6. Step 6: Final answer
    x = 135.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.