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Finding the Fourth Proportional to 191.43, 288.36 and 186.57

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Solution

The fourth proportional to 191.43, 288.36 and 186.57 is: 281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.43 : 288.36 = 186.57 : x
  2. Step 2: Convert to fraction form
    191.43/288.36 = 186.57/x
  3. Step 3: Cross multiply
    191.43x = 288.36 × 186.57
  4. Step 4: Simplify right side
    191.43x = 53,799.33
  5. Step 5: Solve for x
    x = 53,799.33/191.43
  6. Step 6: Final answer
    x = 281.04

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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.