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Finding the Fourth Proportional to 193.70, 267.53 and 128.50

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Solution

The fourth proportional to 193.70, 267.53 and 128.50 is: 177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.70 : 267.53 = 128.50 : x
  2. Step 2: Convert to fraction form
    193.70/267.53 = 128.50/x
  3. Step 3: Cross multiply
    193.70x = 267.53 × 128.50
  4. Step 4: Simplify right side
    193.70x = 34,375.62
  5. Step 5: Solve for x
    x = 34,375.62/193.70
  6. Step 6: Final answer
    x = 177.47

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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.