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Finding the Fourth Proportional to 135.58, 202.32 and 120.18

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Solution

The fourth proportional to 135.58, 202.32 and 120.18 is: 179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.58 : 202.32 = 120.18 : x
  2. Step 2: Convert to fraction form
    135.58/202.32 = 120.18/x
  3. Step 3: Cross multiply
    135.58x = 202.32 × 120.18
  4. Step 4: Simplify right side
    135.58x = 24,314.82
  5. Step 5: Solve for x
    x = 24,314.82/135.58
  6. Step 6: Final answer
    x = 179.34

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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.