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Finding the Fourth Proportional to 277.06, 409.78 and 277.06

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Solution

The fourth proportional to 277.06, 409.78 and 277.06 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.06 : 409.78 = 277.06 : x
  2. Step 2: Convert to fraction form
    277.06/409.78 = 277.06/x
  3. Step 3: Cross multiply
    277.06x = 409.78 × 277.06
  4. Step 4: Simplify right side
    277.06x = 113,533.65
  5. Step 5: Solve for x
    x = 113,533.65/277.06
  6. Step 6: Final answer
    x = 409.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.