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Finding the Fourth Proportional to 193.94, 267.64 and 106.61

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Solution

The fourth proportional to 193.94, 267.64 and 106.61 is: 147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.94 : 267.64 = 106.61 : x
  2. Step 2: Convert to fraction form
    193.94/267.64 = 106.61/x
  3. Step 3: Cross multiply
    193.94x = 267.64 × 106.61
  4. Step 4: Simplify right side
    193.94x = 28,533.24
  5. Step 5: Solve for x
    x = 28,533.24/193.94
  6. Step 6: Final answer
    x = 147.13

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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.