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Finding the Fourth Proportional to 277.60, 413.95 and 275.13

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Solution

The fourth proportional to 277.60, 413.95 and 275.13 is: 410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 413.95 = 275.13 : x
  2. Step 2: Convert to fraction form
    277.60/413.95 = 275.13/x
  3. Step 3: Cross multiply
    277.60x = 413.95 × 275.13
  4. Step 4: Simplify right side
    277.60x = 113,890.06
  5. Step 5: Solve for x
    x = 113,890.06/277.60
  6. Step 6: Final answer
    x = 410.27

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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.