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Finding the Fourth Proportional to 193.14, 290.81 and 166.72

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Solution

The fourth proportional to 193.14, 290.81 and 166.72 is: 251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 290.81 = 166.72 : x
  2. Step 2: Convert to fraction form
    193.14/290.81 = 166.72/x
  3. Step 3: Cross multiply
    193.14x = 290.81 × 166.72
  4. Step 4: Simplify right side
    193.14x = 48,483.84
  5. Step 5: Solve for x
    x = 48,483.84/193.14
  6. Step 6: Final answer
    x = 251.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.