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Finding the Fourth Proportional to 192.15, 286.34 and 186.87

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Solution

The fourth proportional to 192.15, 286.34 and 186.87 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.15 : 286.34 = 186.87 : x
  2. Step 2: Convert to fraction form
    192.15/286.34 = 186.87/x
  3. Step 3: Cross multiply
    192.15x = 286.34 × 186.87
  4. Step 4: Simplify right side
    192.15x = 53,507.42
  5. Step 5: Solve for x
    x = 53,507.42/192.15
  6. Step 6: Final answer
    x = 278.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.