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Finding the Fourth Proportional to 278.93, 417.99 and 205.22

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Solution

The fourth proportional to 278.93, 417.99 and 205.22 is: 307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 417.99 = 205.22 : x
  2. Step 2: Convert to fraction form
    278.93/417.99 = 205.22/x
  3. Step 3: Cross multiply
    278.93x = 417.99 × 205.22
  4. Step 4: Simplify right side
    278.93x = 85,780.95
  5. Step 5: Solve for x
    x = 85,780.95/278.93
  6. Step 6: Final answer
    x = 307.54

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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.