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Finding the Fourth Proportional to 135.64, 204.46 and 111.88

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Solution

The fourth proportional to 135.64, 204.46 and 111.88 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.64 : 204.46 = 111.88 : x
  2. Step 2: Convert to fraction form
    135.64/204.46 = 111.88/x
  3. Step 3: Cross multiply
    135.64x = 204.46 × 111.88
  4. Step 4: Simplify right side
    135.64x = 22,874.98
  5. Step 5: Solve for x
    x = 22,874.98/135.64
  6. Step 6: Final answer
    x = 168.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.