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Finding the Fourth Proportional to 194.97, 268.74 and 155.82

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Solution

The fourth proportional to 194.97, 268.74 and 155.82 is: 214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.97 : 268.74 = 155.82 : x
  2. Step 2: Convert to fraction form
    194.97/268.74 = 155.82/x
  3. Step 3: Cross multiply
    194.97x = 268.74 × 155.82
  4. Step 4: Simplify right side
    194.97x = 41,875.07
  5. Step 5: Solve for x
    x = 41,875.07/194.97
  6. Step 6: Final answer
    x = 214.78

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