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Finding the Fourth Proportional to 191.12, 285.96 and 166.64

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Solution

The fourth proportional to 191.12, 285.96 and 166.64 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.12 : 285.96 = 166.64 : x
  2. Step 2: Convert to fraction form
    191.12/285.96 = 166.64/x
  3. Step 3: Cross multiply
    191.12x = 285.96 × 166.64
  4. Step 4: Simplify right side
    191.12x = 47,652.37
  5. Step 5: Solve for x
    x = 47,652.37/191.12
  6. Step 6: Final answer
    x = 249.33

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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.