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Finding the Fourth Proportional to 278.08, 416.60 and 209.20

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Solution

The fourth proportional to 278.08, 416.60 and 209.20 is: 313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 416.60 = 209.20 : x
  2. Step 2: Convert to fraction form
    278.08/416.60 = 209.20/x
  3. Step 3: Cross multiply
    278.08x = 416.60 × 209.20
  4. Step 4: Simplify right side
    278.08x = 87,152.72
  5. Step 5: Solve for x
    x = 87,152.72/278.08
  6. Step 6: Final answer
    x = 313.41

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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.