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Finding the Fourth Proportional to 278.99, 415.32 and 265.73

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Solution

The fourth proportional to 278.99, 415.32 and 265.73 is: 395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.99 : 415.32 = 265.73 : x
  2. Step 2: Convert to fraction form
    278.99/415.32 = 265.73/x
  3. Step 3: Cross multiply
    278.99x = 415.32 × 265.73
  4. Step 4: Simplify right side
    278.99x = 110,359.91
  5. Step 5: Solve for x
    x = 110,359.91/278.99
  6. Step 6: Final answer
    x = 395.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.