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Finding the Fourth Proportional to 213.42, 321.36 and 156.03

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Solution

The fourth proportional to 213.42, 321.36 and 156.03 is: 234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 321.36 = 156.03 : x
  2. Step 2: Convert to fraction form
    213.42/321.36 = 156.03/x
  3. Step 3: Cross multiply
    213.42x = 321.36 × 156.03
  4. Step 4: Simplify right side
    213.42x = 50,141.80
  5. Step 5: Solve for x
    x = 50,141.80/213.42
  6. Step 6: Final answer
    x = 234.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.