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Finding the Fourth Proportional to 193.92, 292.50 and 185.28

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Solution

The fourth proportional to 193.92, 292.50 and 185.28 is: 279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.92 : 292.50 = 185.28 : x
  2. Step 2: Convert to fraction form
    193.92/292.50 = 185.28/x
  3. Step 3: Cross multiply
    193.92x = 292.50 × 185.28
  4. Step 4: Simplify right side
    193.92x = 54,194.40
  5. Step 5: Solve for x
    x = 54,194.40/193.92
  6. Step 6: Final answer
    x = 279.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.