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Finding the Fourth Proportional to 212.02, 294.03 and 198.65

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Solution

The fourth proportional to 212.02, 294.03 and 198.65 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 294.03 = 198.65 : x
  2. Step 2: Convert to fraction form
    212.02/294.03 = 198.65/x
  3. Step 3: Cross multiply
    212.02x = 294.03 × 198.65
  4. Step 4: Simplify right side
    212.02x = 58,409.79
  5. Step 5: Solve for x
    x = 58,409.79/212.02
  6. Step 6: Final answer
    x = 275.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.