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Finding the Fourth Proportional to 193.20, 291.04 and 164.94

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Solution

The fourth proportional to 193.20, 291.04 and 164.94 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 291.04 = 164.94 : x
  2. Step 2: Convert to fraction form
    193.20/291.04 = 164.94/x
  3. Step 3: Cross multiply
    193.20x = 291.04 × 164.94
  4. Step 4: Simplify right side
    193.20x = 48,004.14
  5. Step 5: Solve for x
    x = 48,004.14/193.20
  6. Step 6: Final answer
    x = 248.47

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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.