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Finding the Fourth Proportional to 213.00, 319.47 and 104.46

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Solution

The fourth proportional to 213.00, 319.47 and 104.46 is: 156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.00 : 319.47 = 104.46 : x
  2. Step 2: Convert to fraction form
    213.00/319.47 = 104.46/x
  3. Step 3: Cross multiply
    213.00x = 319.47 × 104.46
  4. Step 4: Simplify right side
    213.00x = 33,370.24
  5. Step 5: Solve for x
    x = 33,370.24/213.00
  6. Step 6: Final answer
    x = 156.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.