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Finding the Fourth Proportional to 293.44, 436.64 and 278.08

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Solution

The fourth proportional to 293.44, 436.64 and 278.08 is: 413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 436.64 = 278.08 : x
  2. Step 2: Convert to fraction form
    293.44/436.64 = 278.08/x
  3. Step 3: Cross multiply
    293.44x = 436.64 × 278.08
  4. Step 4: Simplify right side
    293.44x = 121,420.85
  5. Step 5: Solve for x
    x = 121,420.85/293.44
  6. Step 6: Final answer
    x = 413.78

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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.