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Finding the Fourth Proportional to 135.60, 203.27 and 73.91

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Solution

The fourth proportional to 135.60, 203.27 and 73.91 is: 110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.60 : 203.27 = 73.91 : x
  2. Step 2: Convert to fraction form
    135.60/203.27 = 73.91/x
  3. Step 3: Cross multiply
    135.60x = 203.27 × 73.91
  4. Step 4: Simplify right side
    135.60x = 15,022.30
  5. Step 5: Solve for x
    x = 15,022.30/135.60
  6. Step 6: Final answer
    x = 110.78

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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.