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Finding the Fourth Proportional to 135.25, 203.15 and 89.62

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Solution

The fourth proportional to 135.25, 203.15 and 89.62 is: 134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.25 : 203.15 = 89.62 : x
  2. Step 2: Convert to fraction form
    135.25/203.15 = 89.62/x
  3. Step 3: Cross multiply
    135.25x = 203.15 × 89.62
  4. Step 4: Simplify right side
    135.25x = 18,206.30
  5. Step 5: Solve for x
    x = 18,206.30/135.25
  6. Step 6: Final answer
    x = 134.61

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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.