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Finding the Fourth Proportional to 278.75, 384.89 and 208.94

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Solution

The fourth proportional to 278.75, 384.89 and 208.94 is: 288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 384.89 = 208.94 : x
  2. Step 2: Convert to fraction form
    278.75/384.89 = 208.94/x
  3. Step 3: Cross multiply
    278.75x = 384.89 × 208.94
  4. Step 4: Simplify right side
    278.75x = 80,415.95
  5. Step 5: Solve for x
    x = 80,415.95/278.75
  6. Step 6: Final answer
    x = 288.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.