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Finding the Fourth Proportional to 209.95, 315.12 and 107.30

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Solution

The fourth proportional to 209.95, 315.12 and 107.30 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.95 : 315.12 = 107.30 : x
  2. Step 2: Convert to fraction form
    209.95/315.12 = 107.30/x
  3. Step 3: Cross multiply
    209.95x = 315.12 × 107.30
  4. Step 4: Simplify right side
    209.95x = 33,813.02
  5. Step 5: Solve for x
    x = 33,813.02/209.95
  6. Step 6: Final answer
    x = 161.05

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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.