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Finding the Fourth Proportional to 191.83, 286.38 and 185.08

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Solution

The fourth proportional to 191.83, 286.38 and 185.08 is: 276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.83 : 286.38 = 185.08 : x
  2. Step 2: Convert to fraction form
    191.83/286.38 = 185.08/x
  3. Step 3: Cross multiply
    191.83x = 286.38 × 185.08
  4. Step 4: Simplify right side
    191.83x = 53,003.21
  5. Step 5: Solve for x
    x = 53,003.21/191.83
  6. Step 6: Final answer
    x = 276.30

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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.