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Finding the Fourth Proportional to 213.27, 294.32 and 120.03

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Solution

The fourth proportional to 213.27, 294.32 and 120.03 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.27 : 294.32 = 120.03 : x
  2. Step 2: Convert to fraction form
    213.27/294.32 = 120.03/x
  3. Step 3: Cross multiply
    213.27x = 294.32 × 120.03
  4. Step 4: Simplify right side
    213.27x = 35,325.98
  5. Step 5: Solve for x
    x = 35,325.98/213.27
  6. Step 6: Final answer
    x = 165.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.