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Finding the Fourth Proportional to 293.25, 436.78 and 277.83

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Solution

The fourth proportional to 293.25, 436.78 and 277.83 is: 413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.25 : 436.78 = 277.83 : x
  2. Step 2: Convert to fraction form
    293.25/436.78 = 277.83/x
  3. Step 3: Cross multiply
    293.25x = 436.78 × 277.83
  4. Step 4: Simplify right side
    293.25x = 121,349.89
  5. Step 5: Solve for x
    x = 121,349.89/293.25
  6. Step 6: Final answer
    x = 413.81

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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.