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Finding the Fourth Proportional to 277.46, 384.54 and 273.30

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Solution

The fourth proportional to 277.46, 384.54 and 273.30 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.46 : 384.54 = 273.30 : x
  2. Step 2: Convert to fraction form
    277.46/384.54 = 273.30/x
  3. Step 3: Cross multiply
    277.46x = 384.54 × 273.30
  4. Step 4: Simplify right side
    277.46x = 105,093.42
  5. Step 5: Solve for x
    x = 105,093.42/277.46
  6. Step 6: Final answer
    x = 378.77

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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.