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Finding the Fourth Proportional to 191.66, 286.10 and 164.12

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Solution

The fourth proportional to 191.66, 286.10 and 164.12 is: 244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.66 : 286.10 = 164.12 : x
  2. Step 2: Convert to fraction form
    191.66/286.10 = 164.12/x
  3. Step 3: Cross multiply
    191.66x = 286.10 × 164.12
  4. Step 4: Simplify right side
    191.66x = 46,954.73
  5. Step 5: Solve for x
    x = 46,954.73/191.66
  6. Step 6: Final answer
    x = 244.99

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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.