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Finding the Fourth Proportional to 201.30, 275.34 and 200.48

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Solution

The fourth proportional to 201.30, 275.34 and 200.48 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.30 : 275.34 = 200.48 : x
  2. Step 2: Convert to fraction form
    201.30/275.34 = 200.48/x
  3. Step 3: Cross multiply
    201.30x = 275.34 × 200.48
  4. Step 4: Simplify right side
    201.30x = 55,200.16
  5. Step 5: Solve for x
    x = 55,200.16/201.30
  6. Step 6: Final answer
    x = 274.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.