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Finding the Fourth Proportional to 209.00, 312.98 and 122.10

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Solution

The fourth proportional to 209.00, 312.98 and 122.10 is: 182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.00 : 312.98 = 122.10 : x
  2. Step 2: Convert to fraction form
    209.00/312.98 = 122.10/x
  3. Step 3: Cross multiply
    209.00x = 312.98 × 122.10
  4. Step 4: Simplify right side
    209.00x = 38,214.25
  5. Step 5: Solve for x
    x = 38,214.25/209.00
  6. Step 6: Final answer
    x = 182.85

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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.