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Finding the Fourth Proportional to 193.48, 267.08 and 115.84

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Solution

The fourth proportional to 193.48, 267.08 and 115.84 is: 159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.48 : 267.08 = 115.84 : x
  2. Step 2: Convert to fraction form
    193.48/267.08 = 115.84/x
  3. Step 3: Cross multiply
    193.48x = 267.08 × 115.84
  4. Step 4: Simplify right side
    193.48x = 30,938.55
  5. Step 5: Solve for x
    x = 30,938.55/193.48
  6. Step 6: Final answer
    x = 159.91

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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.