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Finding the Fourth Proportional to 278.83, 415.67 and 248.05

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Solution

The fourth proportional to 278.83, 415.67 and 248.05 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.83 : 415.67 = 248.05 : x
  2. Step 2: Convert to fraction form
    278.83/415.67 = 248.05/x
  3. Step 3: Cross multiply
    278.83x = 415.67 × 248.05
  4. Step 4: Simplify right side
    278.83x = 103,106.94
  5. Step 5: Solve for x
    x = 103,106.94/278.83
  6. Step 6: Final answer
    x = 369.78

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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.