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Finding the Fourth Proportional to 191.83, 286.53 and 188.59

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Solution

The fourth proportional to 191.83, 286.53 and 188.59 is: 281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.83 : 286.53 = 188.59 : x
  2. Step 2: Convert to fraction form
    191.83/286.53 = 188.59/x
  3. Step 3: Cross multiply
    191.83x = 286.53 × 188.59
  4. Step 4: Simplify right side
    191.83x = 54,035.73
  5. Step 5: Solve for x
    x = 54,035.73/191.83
  6. Step 6: Final answer
    x = 281.69

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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.