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Finding the Fourth Proportional to 212.40, 294.45 and 201.44

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Solution

The fourth proportional to 212.40, 294.45 and 201.44 is: 279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.40 : 294.45 = 201.44 : x
  2. Step 2: Convert to fraction form
    212.40/294.45 = 201.44/x
  3. Step 3: Cross multiply
    212.40x = 294.45 × 201.44
  4. Step 4: Simplify right side
    212.40x = 59,314.01
  5. Step 5: Solve for x
    x = 59,314.01/212.40
  6. Step 6: Final answer
    x = 279.26

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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.