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Finding the Fourth Proportional to 135.25, 203.80 and 120.52

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Solution

The fourth proportional to 135.25, 203.80 and 120.52 is: 181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.25 : 203.80 = 120.52 : x
  2. Step 2: Convert to fraction form
    135.25/203.80 = 120.52/x
  3. Step 3: Cross multiply
    135.25x = 203.80 × 120.52
  4. Step 4: Simplify right side
    135.25x = 24,561.98
  5. Step 5: Solve for x
    x = 24,561.98/135.25
  6. Step 6: Final answer
    x = 181.60

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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.