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Finding the Fourth Proportional to 215.22, 297.09 and 132.33

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Solution

The fourth proportional to 215.22, 297.09 and 132.33 is: 182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.22 : 297.09 = 132.33 : x
  2. Step 2: Convert to fraction form
    215.22/297.09 = 132.33/x
  3. Step 3: Cross multiply
    215.22x = 297.09 × 132.33
  4. Step 4: Simplify right side
    215.22x = 39,313.92
  5. Step 5: Solve for x
    x = 39,313.92/215.22
  6. Step 6: Final answer
    x = 182.67

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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.