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Finding the Fourth Proportional to 192.68, 288.98 and 64.43

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Solution

The fourth proportional to 192.68, 288.98 and 64.43 is: 96.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.68 : 288.98 = 64.43 : x
  2. Step 2: Convert to fraction form
    192.68/288.98 = 64.43/x
  3. Step 3: Cross multiply
    192.68x = 288.98 × 64.43
  4. Step 4: Simplify right side
    192.68x = 18,617.21
  5. Step 5: Solve for x
    x = 18,617.21/192.68
  6. Step 6: Final answer
    x = 96.62

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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.