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Finding the Fourth Proportional to 135.32, 203.78 and 120.20

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Solution

The fourth proportional to 135.32, 203.78 and 120.20 is: 181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.32 : 203.78 = 120.20 : x
  2. Step 2: Convert to fraction form
    135.32/203.78 = 120.20/x
  3. Step 3: Cross multiply
    135.32x = 203.78 × 120.20
  4. Step 4: Simplify right side
    135.32x = 24,494.36
  5. Step 5: Solve for x
    x = 24,494.36/135.32
  6. Step 6: Final answer
    x = 181.01

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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.