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Finding the Fourth Proportional to 277.08, 413.82 and 275.19

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Solution

The fourth proportional to 277.08, 413.82 and 275.19 is: 411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.08 : 413.82 = 275.19 : x
  2. Step 2: Convert to fraction form
    277.08/413.82 = 275.19/x
  3. Step 3: Cross multiply
    277.08x = 413.82 × 275.19
  4. Step 4: Simplify right side
    277.08x = 113,879.13
  5. Step 5: Solve for x
    x = 113,879.13/277.08
  6. Step 6: Final answer
    x = 411.00

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