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Finding the Fourth Proportional to 321.05, 442.16 and 276.77

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Solution

The fourth proportional to 321.05, 442.16 and 276.77 is: 381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.05 : 442.16 = 276.77 : x
  2. Step 2: Convert to fraction form
    321.05/442.16 = 276.77/x
  3. Step 3: Cross multiply
    321.05x = 442.16 × 276.77
  4. Step 4: Simplify right side
    321.05x = 122,377.38
  5. Step 5: Solve for x
    x = 122,377.38/321.05
  6. Step 6: Final answer
    x = 381.18

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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.