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Finding the Fourth Proportional to 203.23, 282.40 and 201.11

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Solution

The fourth proportional to 203.23, 282.40 and 201.11 is: 279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.23 : 282.40 = 201.11 : x
  2. Step 2: Convert to fraction form
    203.23/282.40 = 201.11/x
  3. Step 3: Cross multiply
    203.23x = 282.40 × 201.11
  4. Step 4: Simplify right side
    203.23x = 56,792.46
  5. Step 5: Solve for x
    x = 56,792.46/203.23
  6. Step 6: Final answer
    x = 279.46

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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.