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Finding the Fourth Proportional to 191, 286.50 and 77.08

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Solution

The fourth proportional to 191, 286.50 and 77.08 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 286.50 = 77.08 : x
  2. Step 2: Convert to fraction form
    191/286.50 = 77.08/x
  3. Step 3: Cross multiply
    191x = 286.50 × 77.08
  4. Step 4: Simplify right side
    191x = 22,083.42
  5. Step 5: Solve for x
    x = 22,083.42/191
  6. Step 6: Final answer
    x = 115.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.