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Finding the Fourth Proportional to 193.57, 267.15 and 119.93

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Solution

The fourth proportional to 193.57, 267.15 and 119.93 is: 165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.57 : 267.15 = 119.93 : x
  2. Step 2: Convert to fraction form
    193.57/267.15 = 119.93/x
  3. Step 3: Cross multiply
    193.57x = 267.15 × 119.93
  4. Step 4: Simplify right side
    193.57x = 32,039.30
  5. Step 5: Solve for x
    x = 32,039.30/193.57
  6. Step 6: Final answer
    x = 165.52

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Why These Related Problems?

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