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Finding the Fourth Proportional to 212.10, 294.09 and 201.30

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Solution

The fourth proportional to 212.10, 294.09 and 201.30 is: 279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 294.09 = 201.30 : x
  2. Step 2: Convert to fraction form
    212.10/294.09 = 201.30/x
  3. Step 3: Cross multiply
    212.10x = 294.09 × 201.30
  4. Step 4: Simplify right side
    212.10x = 59,200.32
  5. Step 5: Solve for x
    x = 59,200.32/212.10
  6. Step 6: Final answer
    x = 279.12

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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.