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Finding the Fourth Proportional to 215.20, 297.09 and 145.36

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Solution

The fourth proportional to 215.20, 297.09 and 145.36 is: 200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.20 : 297.09 = 145.36 : x
  2. Step 2: Convert to fraction form
    215.20/297.09 = 145.36/x
  3. Step 3: Cross multiply
    215.20x = 297.09 × 145.36
  4. Step 4: Simplify right side
    215.20x = 43,185.00
  5. Step 5: Solve for x
    x = 43,185.00/215.20
  6. Step 6: Final answer
    x = 200.67

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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.