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Finding the Fourth Proportional to 193.80, 291.84 and 161.64

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Solution

The fourth proportional to 193.80, 291.84 and 161.64 is: 243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.80 : 291.84 = 161.64 : x
  2. Step 2: Convert to fraction form
    193.80/291.84 = 161.64/x
  3. Step 3: Cross multiply
    193.80x = 291.84 × 161.64
  4. Step 4: Simplify right side
    193.80x = 47,173.02
  5. Step 5: Solve for x
    x = 47,173.02/193.80
  6. Step 6: Final answer
    x = 243.41

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