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Finding the Fourth Proportional to 277.42, 385.52 and 273.98

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Solution

The fourth proportional to 277.42, 385.52 and 273.98 is: 380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 385.52 = 273.98 : x
  2. Step 2: Convert to fraction form
    277.42/385.52 = 273.98/x
  3. Step 3: Cross multiply
    277.42x = 385.52 × 273.98
  4. Step 4: Simplify right side
    277.42x = 105,624.77
  5. Step 5: Solve for x
    x = 105,624.77/277.42
  6. Step 6: Final answer
    x = 380.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.