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Finding the Fourth Proportional to 213.83, 321.05 and 153.23

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Solution

The fourth proportional to 213.83, 321.05 and 153.23 is: 230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.83 : 321.05 = 153.23 : x
  2. Step 2: Convert to fraction form
    213.83/321.05 = 153.23/x
  3. Step 3: Cross multiply
    213.83x = 321.05 × 153.23
  4. Step 4: Simplify right side
    213.83x = 49,192.12
  5. Step 5: Solve for x
    x = 49,192.12/213.83
  6. Step 6: Final answer
    x = 230.06

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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.