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Finding the Fourth Proportional to 135.60, 202.22 and 134.40

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Solution

The fourth proportional to 135.60, 202.22 and 134.40 is: 200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.60 : 202.22 = 134.40 : x
  2. Step 2: Convert to fraction form
    135.60/202.22 = 134.40/x
  3. Step 3: Cross multiply
    135.60x = 202.22 × 134.40
  4. Step 4: Simplify right side
    135.60x = 27,178.37
  5. Step 5: Solve for x
    x = 27,178.37/135.60
  6. Step 6: Final answer
    x = 200.43

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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.