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Finding the Fourth Proportional to 193.53, 267.23 and 154.89

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Solution

The fourth proportional to 193.53, 267.23 and 154.89 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.53 : 267.23 = 154.89 : x
  2. Step 2: Convert to fraction form
    193.53/267.23 = 154.89/x
  3. Step 3: Cross multiply
    193.53x = 267.23 × 154.89
  4. Step 4: Simplify right side
    193.53x = 41,390.48
  5. Step 5: Solve for x
    x = 41,390.48/193.53
  6. Step 6: Final answer
    x = 213.87

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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.