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Finding the Fourth Proportional to 321.16, 442.90 and 277.48

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Solution

The fourth proportional to 321.16, 442.90 and 277.48 is: 382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.16 : 442.90 = 277.48 : x
  2. Step 2: Convert to fraction form
    321.16/442.90 = 277.48/x
  3. Step 3: Cross multiply
    321.16x = 442.90 × 277.48
  4. Step 4: Simplify right side
    321.16x = 122,895.89
  5. Step 5: Solve for x
    x = 122,895.89/321.16
  6. Step 6: Final answer
    x = 382.66

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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.