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Finding the Fourth Proportional to 321.65, 442.95 and 223.23

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Solution

The fourth proportional to 321.65, 442.95 and 223.23 is: 307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.65 : 442.95 = 223.23 : x
  2. Step 2: Convert to fraction form
    321.65/442.95 = 223.23/x
  3. Step 3: Cross multiply
    321.65x = 442.95 × 223.23
  4. Step 4: Simplify right side
    321.65x = 98,879.73
  5. Step 5: Solve for x
    x = 98,879.73/321.65
  6. Step 6: Final answer
    x = 307.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.