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Finding the Fourth Proportional to 192.91, 289.14 and 160.36

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Solution

The fourth proportional to 192.91, 289.14 and 160.36 is: 240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.91 : 289.14 = 160.36 : x
  2. Step 2: Convert to fraction form
    192.91/289.14 = 160.36/x
  3. Step 3: Cross multiply
    192.91x = 289.14 × 160.36
  4. Step 4: Simplify right side
    192.91x = 46,366.49
  5. Step 5: Solve for x
    x = 46,366.49/192.91
  6. Step 6: Final answer
    x = 240.35

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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.