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Finding the Fourth Proportional to 209.44, 314.64 and 180.64

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Solution

The fourth proportional to 209.44, 314.64 and 180.64 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 314.64 = 180.64 : x
  2. Step 2: Convert to fraction form
    209.44/314.64 = 180.64/x
  3. Step 3: Cross multiply
    209.44x = 314.64 × 180.64
  4. Step 4: Simplify right side
    209.44x = 56,836.57
  5. Step 5: Solve for x
    x = 56,836.57/209.44
  6. Step 6: Final answer
    x = 271.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.