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Finding the Fourth Proportional to 277.08, 381.84 and 220.98

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Solution

The fourth proportional to 277.08, 381.84 and 220.98 is: 304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.08 : 381.84 = 220.98 : x
  2. Step 2: Convert to fraction form
    277.08/381.84 = 220.98/x
  3. Step 3: Cross multiply
    277.08x = 381.84 × 220.98
  4. Step 4: Simplify right side
    277.08x = 84,379.00
  5. Step 5: Solve for x
    x = 84,379.00/277.08
  6. Step 6: Final answer
    x = 304.53

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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.