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Finding the Fourth Proportional to 135.93, 204.96 and 134.22

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Solution

The fourth proportional to 135.93, 204.96 and 134.22 is: 202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.93 : 204.96 = 134.22 : x
  2. Step 2: Convert to fraction form
    135.93/204.96 = 134.22/x
  3. Step 3: Cross multiply
    135.93x = 204.96 × 134.22
  4. Step 4: Simplify right side
    135.93x = 27,509.01
  5. Step 5: Solve for x
    x = 27,509.01/135.93
  6. Step 6: Final answer
    x = 202.38

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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.