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Finding the Fourth Proportional to 278.70, 417.07 and 191.62

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Solution

The fourth proportional to 278.70, 417.07 and 191.62 is: 286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.70 : 417.07 = 191.62 : x
  2. Step 2: Convert to fraction form
    278.70/417.07 = 191.62/x
  3. Step 3: Cross multiply
    278.70x = 417.07 × 191.62
  4. Step 4: Simplify right side
    278.70x = 79,918.95
  5. Step 5: Solve for x
    x = 79,918.95/278.70
  6. Step 6: Final answer
    x = 286.76

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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.