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Finding the Fourth Proportional to 200.38, 276.63 and 135.22

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Solution

The fourth proportional to 200.38, 276.63 and 135.22 is: 186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 276.63 = 135.22 : x
  2. Step 2: Convert to fraction form
    200.38/276.63 = 135.22/x
  3. Step 3: Cross multiply
    200.38x = 276.63 × 135.22
  4. Step 4: Simplify right side
    200.38x = 37,405.91
  5. Step 5: Solve for x
    x = 37,405.91/200.38
  6. Step 6: Final answer
    x = 186.67

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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.