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Finding the Fourth Proportional to 278.84, 384.82 and 209.05

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Solution

The fourth proportional to 278.84, 384.82 and 209.05 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 384.82 = 209.05 : x
  2. Step 2: Convert to fraction form
    278.84/384.82 = 209.05/x
  3. Step 3: Cross multiply
    278.84x = 384.82 × 209.05
  4. Step 4: Simplify right side
    278.84x = 80,445.14
  5. Step 5: Solve for x
    x = 80,445.14/278.84
  6. Step 6: Final answer
    x = 288.50

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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.