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Finding the Fourth Proportional to 212.04, 319.65 and 198.12

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Solution

The fourth proportional to 212.04, 319.65 and 198.12 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 319.65 = 198.12 : x
  2. Step 2: Convert to fraction form
    212.04/319.65 = 198.12/x
  3. Step 3: Cross multiply
    212.04x = 319.65 × 198.12
  4. Step 4: Simplify right side
    212.04x = 63,329.06
  5. Step 5: Solve for x
    x = 63,329.06/212.04
  6. Step 6: Final answer
    x = 298.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.