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Finding the Fourth Proportional to 193.63, 267.21 and 116.05

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Solution

The fourth proportional to 193.63, 267.21 and 116.05 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.63 : 267.21 = 116.05 : x
  2. Step 2: Convert to fraction form
    193.63/267.21 = 116.05/x
  3. Step 3: Cross multiply
    193.63x = 267.21 × 116.05
  4. Step 4: Simplify right side
    193.63x = 31,009.72
  5. Step 5: Solve for x
    x = 31,009.72/193.63
  6. Step 6: Final answer
    x = 160.15

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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.