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Finding the Fourth Proportional to 191.15, 285.96 and 165.76

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Solution

The fourth proportional to 191.15, 285.96 and 165.76 is: 247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.15 : 285.96 = 165.76 : x
  2. Step 2: Convert to fraction form
    191.15/285.96 = 165.76/x
  3. Step 3: Cross multiply
    191.15x = 285.96 × 165.76
  4. Step 4: Simplify right side
    191.15x = 47,399.30
  5. Step 5: Solve for x
    x = 47,399.30/191.15
  6. Step 6: Final answer
    x = 247.97

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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.