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Finding the Fourth Proportional to 192.84, 288.71 and 165.50

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Solution

The fourth proportional to 192.84, 288.71 and 165.50 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.84 : 288.71 = 165.50 : x
  2. Step 2: Convert to fraction form
    192.84/288.71 = 165.50/x
  3. Step 3: Cross multiply
    192.84x = 288.71 × 165.50
  4. Step 4: Simplify right side
    192.84x = 47,781.51
  5. Step 5: Solve for x
    x = 47,781.51/192.84
  6. Step 6: Final answer
    x = 247.78

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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.