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Finding the Fourth Proportional to 213.80, 321.10 and 153.04

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Solution

The fourth proportional to 213.80, 321.10 and 153.04 is: 229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 321.10 = 153.04 : x
  2. Step 2: Convert to fraction form
    213.80/321.10 = 153.04/x
  3. Step 3: Cross multiply
    213.80x = 321.10 × 153.04
  4. Step 4: Simplify right side
    213.80x = 49,141.14
  5. Step 5: Solve for x
    x = 49,141.14/213.80
  6. Step 6: Final answer
    x = 229.85

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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.