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Finding the Fourth Proportional to 212.76, 320.49 and 201.42

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Solution

The fourth proportional to 212.76, 320.49 and 201.42 is: 303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.76 : 320.49 = 201.42 : x
  2. Step 2: Convert to fraction form
    212.76/320.49 = 201.42/x
  3. Step 3: Cross multiply
    212.76x = 320.49 × 201.42
  4. Step 4: Simplify right side
    212.76x = 64,553.10
  5. Step 5: Solve for x
    x = 64,553.10/212.76
  6. Step 6: Final answer
    x = 303.41

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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.