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Finding the Fourth Proportional to 277.20, 413.78 and 258.96

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Solution

The fourth proportional to 277.20, 413.78 and 258.96 is: 386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.20 : 413.78 = 258.96 : x
  2. Step 2: Convert to fraction form
    277.20/413.78 = 258.96/x
  3. Step 3: Cross multiply
    277.20x = 413.78 × 258.96
  4. Step 4: Simplify right side
    277.20x = 107,151.17
  5. Step 5: Solve for x
    x = 107,151.17/277.20
  6. Step 6: Final answer
    x = 386.55

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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.