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Finding the Fourth Proportional to 277.90, 413.47 and 276.95

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Solution

The fourth proportional to 277.90, 413.47 and 276.95 is: 412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.90 : 413.47 = 276.95 : x
  2. Step 2: Convert to fraction form
    277.90/413.47 = 276.95/x
  3. Step 3: Cross multiply
    277.90x = 413.47 × 276.95
  4. Step 4: Simplify right side
    277.90x = 114,510.52
  5. Step 5: Solve for x
    x = 114,510.52/277.90
  6. Step 6: Final answer
    x = 412.06

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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.