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Finding the Fourth Proportional to 278, 416.62 and 209.44

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Solution

The fourth proportional to 278, 416.62 and 209.44 is: 313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 416.62 = 209.44 : x
  2. Step 2: Convert to fraction form
    278/416.62 = 209.44/x
  3. Step 3: Cross multiply
    278x = 416.62 × 209.44
  4. Step 4: Simplify right side
    278x = 87,256.89
  5. Step 5: Solve for x
    x = 87,256.89/278
  6. Step 6: Final answer
    x = 313.87

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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.