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Finding the Fourth Proportional to 277.89, 413.91 and 263.85

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Solution

The fourth proportional to 277.89, 413.91 and 263.85 is: 393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 413.91 = 263.85 : x
  2. Step 2: Convert to fraction form
    277.89/413.91 = 263.85/x
  3. Step 3: Cross multiply
    277.89x = 413.91 × 263.85
  4. Step 4: Simplify right side
    277.89x = 109,210.15
  5. Step 5: Solve for x
    x = 109,210.15/277.89
  6. Step 6: Final answer
    x = 393.00

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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.