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Finding the Fourth Proportional to 191.36, 284.99 and 188.97

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Solution

The fourth proportional to 191.36, 284.99 and 188.97 is: 281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.36 : 284.99 = 188.97 : x
  2. Step 2: Convert to fraction form
    191.36/284.99 = 188.97/x
  3. Step 3: Cross multiply
    191.36x = 284.99 × 188.97
  4. Step 4: Simplify right side
    191.36x = 53,855.34
  5. Step 5: Solve for x
    x = 53,855.34/191.36
  6. Step 6: Final answer
    x = 281.43

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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.