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Finding the Fourth Proportional to 193.77, 292.19 and 190.12

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Solution

The fourth proportional to 193.77, 292.19 and 190.12 is: 286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.77 : 292.19 = 190.12 : x
  2. Step 2: Convert to fraction form
    193.77/292.19 = 190.12/x
  3. Step 3: Cross multiply
    193.77x = 292.19 × 190.12
  4. Step 4: Simplify right side
    193.77x = 55,551.16
  5. Step 5: Solve for x
    x = 55,551.16/193.77
  6. Step 6: Final answer
    x = 286.69

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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.