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Finding the Fourth Proportional to 191.09, 284.72 and 170.62

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Solution

The fourth proportional to 191.09, 284.72 and 170.62 is: 254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.09 : 284.72 = 170.62 : x
  2. Step 2: Convert to fraction form
    191.09/284.72 = 170.62/x
  3. Step 3: Cross multiply
    191.09x = 284.72 × 170.62
  4. Step 4: Simplify right side
    191.09x = 48,578.43
  5. Step 5: Solve for x
    x = 48,578.43/191.09
  6. Step 6: Final answer
    x = 254.22

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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.