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Finding the Fourth Proportional to 191.28, 263.34 and 166.59

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Solution

The fourth proportional to 191.28, 263.34 and 166.59 is: 229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.28 : 263.34 = 166.59 : x
  2. Step 2: Convert to fraction form
    191.28/263.34 = 166.59/x
  3. Step 3: Cross multiply
    191.28x = 263.34 × 166.59
  4. Step 4: Simplify right side
    191.28x = 43,869.81
  5. Step 5: Solve for x
    x = 43,869.81/191.28
  6. Step 6: Final answer
    x = 229.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.