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Finding the Fourth Proportional to 193.51, 267.07 and 114.85

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Solution

The fourth proportional to 193.51, 267.07 and 114.85 is: 158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.51 : 267.07 = 114.85 : x
  2. Step 2: Convert to fraction form
    193.51/267.07 = 114.85/x
  3. Step 3: Cross multiply
    193.51x = 267.07 × 114.85
  4. Step 4: Simplify right side
    193.51x = 30,672.99
  5. Step 5: Solve for x
    x = 30,672.99/193.51
  6. Step 6: Final answer
    x = 158.51

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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.