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Finding the Fourth Proportional to 278.14, 417.21 and 104.80

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Solution

The fourth proportional to 278.14, 417.21 and 104.80 is: 157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 417.21 = 104.80 : x
  2. Step 2: Convert to fraction form
    278.14/417.21 = 104.80/x
  3. Step 3: Cross multiply
    278.14x = 417.21 × 104.80
  4. Step 4: Simplify right side
    278.14x = 43,721.00
  5. Step 5: Solve for x
    x = 43,721.00/278.14
  6. Step 6: Final answer
    x = 157.19

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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.