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Finding the Fourth Proportional to 212.98, 321.32 and 200.02

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Solution

The fourth proportional to 212.98, 321.32 and 200.02 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.98 : 321.32 = 200.02 : x
  2. Step 2: Convert to fraction form
    212.98/321.32 = 200.02/x
  3. Step 3: Cross multiply
    212.98x = 321.32 × 200.02
  4. Step 4: Simplify right side
    212.98x = 64,270.43
  5. Step 5: Solve for x
    x = 64,270.43/212.98
  6. Step 6: Final answer
    x = 301.77

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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.