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Finding the Fourth Proportional to 270.50, 373.73 and 192.11

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Solution

The fourth proportional to 270.50, 373.73 and 192.11 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.50 : 373.73 = 192.11 : x
  2. Step 2: Convert to fraction form
    270.50/373.73 = 192.11/x
  3. Step 3: Cross multiply
    270.50x = 373.73 × 192.11
  4. Step 4: Simplify right side
    270.50x = 71,794.44
  5. Step 5: Solve for x
    x = 71,794.44/270.50
  6. Step 6: Final answer
    x = 265.42

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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.