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Finding the Fourth Proportional to 277.65, 382.90 and 222.39

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Solution

The fourth proportional to 277.65, 382.90 and 222.39 is: 306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.65 : 382.90 = 222.39 : x
  2. Step 2: Convert to fraction form
    277.65/382.90 = 222.39/x
  3. Step 3: Cross multiply
    277.65x = 382.90 × 222.39
  4. Step 4: Simplify right side
    277.65x = 85,153.13
  5. Step 5: Solve for x
    x = 85,153.13/277.65
  6. Step 6: Final answer
    x = 306.69

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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.