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Finding the Fourth Proportional to 209.35, 288.85 and 126.44

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Solution

The fourth proportional to 209.35, 288.85 and 126.44 is: 174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.35 : 288.85 = 126.44 : x
  2. Step 2: Convert to fraction form
    209.35/288.85 = 126.44/x
  3. Step 3: Cross multiply
    209.35x = 288.85 × 126.44
  4. Step 4: Simplify right side
    209.35x = 36,522.19
  5. Step 5: Solve for x
    x = 36,522.19/209.35
  6. Step 6: Final answer
    x = 174.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.