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Finding the Fourth Proportional to 192.34, 288.15 and 95.92

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Solution

The fourth proportional to 192.34, 288.15 and 95.92 is: 143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.34 : 288.15 = 95.92 : x
  2. Step 2: Convert to fraction form
    192.34/288.15 = 95.92/x
  3. Step 3: Cross multiply
    192.34x = 288.15 × 95.92
  4. Step 4: Simplify right side
    192.34x = 27,639.35
  5. Step 5: Solve for x
    x = 27,639.35/192.34
  6. Step 6: Final answer
    x = 143.70

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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.