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Finding the Fourth Proportional to 209.58, 311.84 and 198.06

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Solution

The fourth proportional to 209.58, 311.84 and 198.06 is: 294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 311.84 = 198.06 : x
  2. Step 2: Convert to fraction form
    209.58/311.84 = 198.06/x
  3. Step 3: Cross multiply
    209.58x = 311.84 × 198.06
  4. Step 4: Simplify right side
    209.58x = 61,762.04
  5. Step 5: Solve for x
    x = 61,762.04/209.58
  6. Step 6: Final answer
    x = 294.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.