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Finding the Fourth Proportional to 277.32, 384.29 and 273.84

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Solution

The fourth proportional to 277.32, 384.29 and 273.84 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 384.29 = 273.84 : x
  2. Step 2: Convert to fraction form
    277.32/384.29 = 273.84/x
  3. Step 3: Cross multiply
    277.32x = 384.29 × 273.84
  4. Step 4: Simplify right side
    277.32x = 105,232.60
  5. Step 5: Solve for x
    x = 105,232.60/277.32
  6. Step 6: Final answer
    x = 379.46

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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.