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Finding the Fourth Proportional to 278.08, 416.80 and 104.60

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Solution

The fourth proportional to 278.08, 416.80 and 104.60 is: 156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 416.80 = 104.60 : x
  2. Step 2: Convert to fraction form
    278.08/416.80 = 104.60/x
  3. Step 3: Cross multiply
    278.08x = 416.80 × 104.60
  4. Step 4: Simplify right side
    278.08x = 43,597.28
  5. Step 5: Solve for x
    x = 43,597.28/278.08
  6. Step 6: Final answer
    x = 156.78

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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.