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Finding the Fourth Proportional to 135.66, 202.64 and 112.85

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Solution

The fourth proportional to 135.66, 202.64 and 112.85 is: 168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.66 : 202.64 = 112.85 : x
  2. Step 2: Convert to fraction form
    135.66/202.64 = 112.85/x
  3. Step 3: Cross multiply
    135.66x = 202.64 × 112.85
  4. Step 4: Simplify right side
    135.66x = 22,868.37
  5. Step 5: Solve for x
    x = 22,868.37/135.66
  6. Step 6: Final answer
    x = 168.57

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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.