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Finding the Fourth Proportional to 234.16, 321.23 and 220.19

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Solution

The fourth proportional to 234.16, 321.23 and 220.19 is: 302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.16 : 321.23 = 220.19 : x
  2. Step 2: Convert to fraction form
    234.16/321.23 = 220.19/x
  3. Step 3: Cross multiply
    234.16x = 321.23 × 220.19
  4. Step 4: Simplify right side
    234.16x = 70,730.58
  5. Step 5: Solve for x
    x = 70,730.58/234.16
  6. Step 6: Final answer
    x = 302.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.