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Finding the Fourth Proportional to 321.14, 442.73 and 274.32

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Solution

The fourth proportional to 321.14, 442.73 and 274.32 is: 378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.14 : 442.73 = 274.32 : x
  2. Step 2: Convert to fraction form
    321.14/442.73 = 274.32/x
  3. Step 3: Cross multiply
    321.14x = 442.73 × 274.32
  4. Step 4: Simplify right side
    321.14x = 121,450.38
  5. Step 5: Solve for x
    x = 121,450.38/321.14
  6. Step 6: Final answer
    x = 378.18

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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.