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Finding the Fourth Proportional to 277.38, 416.03 and 195.98

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Solution

The fourth proportional to 277.38, 416.03 and 195.98 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 416.03 = 195.98 : x
  2. Step 2: Convert to fraction form
    277.38/416.03 = 195.98/x
  3. Step 3: Cross multiply
    277.38x = 416.03 × 195.98
  4. Step 4: Simplify right side
    277.38x = 81,530.50
  5. Step 5: Solve for x
    x = 81,530.50/277.38
  6. Step 6: Final answer
    x = 293.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.