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Finding the Fourth Proportional to 135.71, 202.67 and 134.30

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Solution

The fourth proportional to 135.71, 202.67 and 134.30 is: 200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.71 : 202.67 = 134.30 : x
  2. Step 2: Convert to fraction form
    135.71/202.67 = 134.30/x
  3. Step 3: Cross multiply
    135.71x = 202.67 × 134.30
  4. Step 4: Simplify right side
    135.71x = 27,216.90
  5. Step 5: Solve for x
    x = 27,216.90/135.71
  6. Step 6: Final answer
    x = 200.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.