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Finding the Fourth Proportional to 278.49, 416.79 and 209.84

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Solution

The fourth proportional to 278.49, 416.79 and 209.84 is: 314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.49 : 416.79 = 209.84 : x
  2. Step 2: Convert to fraction form
    278.49/416.79 = 209.84/x
  3. Step 3: Cross multiply
    278.49x = 416.79 × 209.84
  4. Step 4: Simplify right side
    278.49x = 87,459.21
  5. Step 5: Solve for x
    x = 87,459.21/278.49
  6. Step 6: Final answer
    x = 314.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.