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Finding the Fourth Proportional to 133.22, 200.93 and 115.40

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Solution

The fourth proportional to 133.22, 200.93 and 115.40 is: 174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.22 : 200.93 = 115.40 : x
  2. Step 2: Convert to fraction form
    133.22/200.93 = 115.40/x
  3. Step 3: Cross multiply
    133.22x = 200.93 × 115.40
  4. Step 4: Simplify right side
    133.22x = 23,187.32
  5. Step 5: Solve for x
    x = 23,187.32/133.22
  6. Step 6: Final answer
    x = 174.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.