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Finding the Fourth Proportional to 203.22, 279.63 and 200.34

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Solution

The fourth proportional to 203.22, 279.63 and 200.34 is: 275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.22 : 279.63 = 200.34 : x
  2. Step 2: Convert to fraction form
    203.22/279.63 = 200.34/x
  3. Step 3: Cross multiply
    203.22x = 279.63 × 200.34
  4. Step 4: Simplify right side
    203.22x = 56,021.07
  5. Step 5: Solve for x
    x = 56,021.07/203.22
  6. Step 6: Final answer
    x = 275.67

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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.