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Finding the Fourth Proportional to 277.66, 413.88 and 260.04

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Solution

The fourth proportional to 277.66, 413.88 and 260.04 is: 387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.66 : 413.88 = 260.04 : x
  2. Step 2: Convert to fraction form
    277.66/413.88 = 260.04/x
  3. Step 3: Cross multiply
    277.66x = 413.88 × 260.04
  4. Step 4: Simplify right side
    277.66x = 107,625.93
  5. Step 5: Solve for x
    x = 107,625.93/277.66
  6. Step 6: Final answer
    x = 387.62

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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.