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Finding the Fourth Proportional to 135.25, 201.77 and 131.53

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Solution

The fourth proportional to 135.25, 201.77 and 131.53 is: 196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.25 : 201.77 = 131.53 : x
  2. Step 2: Convert to fraction form
    135.25/201.77 = 131.53/x
  3. Step 3: Cross multiply
    135.25x = 201.77 × 131.53
  4. Step 4: Simplify right side
    135.25x = 26,538.81
  5. Step 5: Solve for x
    x = 26,538.81/135.25
  6. Step 6: Final answer
    x = 196.22

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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.