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Finding the Fourth Proportional to 278.94, 416.00 and 272.70

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Solution

The fourth proportional to 278.94, 416.00 and 272.70 is: 406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 416.00 = 272.70 : x
  2. Step 2: Convert to fraction form
    278.94/416.00 = 272.70/x
  3. Step 3: Cross multiply
    278.94x = 416.00 × 272.70
  4. Step 4: Simplify right side
    278.94x = 113,441.84
  5. Step 5: Solve for x
    x = 113,441.84/278.94
  6. Step 6: Final answer
    x = 406.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.