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Finding the Fourth Proportional to 278.70, 418.01 and 83.70

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Solution

The fourth proportional to 278.70, 418.01 and 83.70 is: 125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.70 : 418.01 = 83.70 : x
  2. Step 2: Convert to fraction form
    278.70/418.01 = 83.70/x
  3. Step 3: Cross multiply
    278.70x = 418.01 × 83.70
  4. Step 4: Simplify right side
    278.70x = 34,987.44
  5. Step 5: Solve for x
    x = 34,987.44/278.70
  6. Step 6: Final answer
    x = 125.54

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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.