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Finding the Fourth Proportional to 191.82, 285.71 and 187.82

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Solution

The fourth proportional to 191.82, 285.71 and 187.82 is: 279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.82 : 285.71 = 187.82 : x
  2. Step 2: Convert to fraction form
    191.82/285.71 = 187.82/x
  3. Step 3: Cross multiply
    191.82x = 285.71 × 187.82
  4. Step 4: Simplify right side
    191.82x = 53,662.05
  5. Step 5: Solve for x
    x = 53,662.05/191.82
  6. Step 6: Final answer
    x = 279.75

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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.