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Finding the Fourth Proportional to 135.52, 202.37 and 111.20

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Solution

The fourth proportional to 135.52, 202.37 and 111.20 is: 166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.52 : 202.37 = 111.20 : x
  2. Step 2: Convert to fraction form
    135.52/202.37 = 111.20/x
  3. Step 3: Cross multiply
    135.52x = 202.37 × 111.20
  4. Step 4: Simplify right side
    135.52x = 22,501.98
  5. Step 5: Solve for x
    x = 22,501.98/135.52
  6. Step 6: Final answer
    x = 166.04

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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.