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Finding the Fourth Proportional to 193.68, 289.08 and 166.14

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Solution

The fourth proportional to 193.68, 289.08 and 166.14 is: 247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.68 : 289.08 = 166.14 : x
  2. Step 2: Convert to fraction form
    193.68/289.08 = 166.14/x
  3. Step 3: Cross multiply
    193.68x = 289.08 × 166.14
  4. Step 4: Simplify right side
    193.68x = 48,027.75
  5. Step 5: Solve for x
    x = 48,027.75/193.68
  6. Step 6: Final answer
    x = 247.97

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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.