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Finding the Fourth Proportional to 115.89, 174.64 and 109.05

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Solution

The fourth proportional to 115.89, 174.64 and 109.05 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.89 : 174.64 = 109.05 : x
  2. Step 2: Convert to fraction form
    115.89/174.64 = 109.05/x
  3. Step 3: Cross multiply
    115.89x = 174.64 × 109.05
  4. Step 4: Simplify right side
    115.89x = 19,044.49
  5. Step 5: Solve for x
    x = 19,044.49/115.89
  6. Step 6: Final answer
    x = 164.33

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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.