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Finding the Fourth Proportional to 209.87, 314.87 and 164.24

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Solution

The fourth proportional to 209.87, 314.87 and 164.24 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.87 : 314.87 = 164.24 : x
  2. Step 2: Convert to fraction form
    209.87/314.87 = 164.24/x
  3. Step 3: Cross multiply
    209.87x = 314.87 × 164.24
  4. Step 4: Simplify right side
    209.87x = 51,711.85
  5. Step 5: Solve for x
    x = 51,711.85/209.87
  6. Step 6: Final answer
    x = 246.41

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