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Finding the Fourth Proportional to 135.35, 202.76 and 111.05

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Solution

The fourth proportional to 135.35, 202.76 and 111.05 is: 166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.35 : 202.76 = 111.05 : x
  2. Step 2: Convert to fraction form
    135.35/202.76 = 111.05/x
  3. Step 3: Cross multiply
    135.35x = 202.76 × 111.05
  4. Step 4: Simplify right side
    135.35x = 22,515.94
  5. Step 5: Solve for x
    x = 22,515.94/135.35
  6. Step 6: Final answer
    x = 166.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.