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Finding the Fourth Proportional to 193.78, 267.57 and 155.14

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Solution

The fourth proportional to 193.78, 267.57 and 155.14 is: 214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.78 : 267.57 = 155.14 : x
  2. Step 2: Convert to fraction form
    193.78/267.57 = 155.14/x
  3. Step 3: Cross multiply
    193.78x = 267.57 × 155.14
  4. Step 4: Simplify right side
    193.78x = 41,510.81
  5. Step 5: Solve for x
    x = 41,510.81/193.78
  6. Step 6: Final answer
    x = 214.22

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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.