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Finding the Fourth Proportional to 203.40, 282 and 192.46

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Solution

The fourth proportional to 203.40, 282 and 192.46 is: 266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 282 = 192.46 : x
  2. Step 2: Convert to fraction form
    203.40/282 = 192.46/x
  3. Step 3: Cross multiply
    203.40x = 282 × 192.46
  4. Step 4: Simplify right side
    203.40x = 54,273.72
  5. Step 5: Solve for x
    x = 54,273.72/203.40
  6. Step 6: Final answer
    x = 266.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.