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Finding the Fourth Proportional to 209.45, 314.01 and 106.62

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Solution

The fourth proportional to 209.45, 314.01 and 106.62 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.45 : 314.01 = 106.62 : x
  2. Step 2: Convert to fraction form
    209.45/314.01 = 106.62/x
  3. Step 3: Cross multiply
    209.45x = 314.01 × 106.62
  4. Step 4: Simplify right side
    209.45x = 33,479.75
  5. Step 5: Solve for x
    x = 33,479.75/209.45
  6. Step 6: Final answer
    x = 159.85

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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.