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Finding the Fourth Proportional to 277.42, 418.55 and 274.18

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Solution

The fourth proportional to 277.42, 418.55 and 274.18 is: 413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 418.55 = 274.18 : x
  2. Step 2: Convert to fraction form
    277.42/418.55 = 274.18/x
  3. Step 3: Cross multiply
    277.42x = 418.55 × 274.18
  4. Step 4: Simplify right side
    277.42x = 114,758.04
  5. Step 5: Solve for x
    x = 114,758.04/277.42
  6. Step 6: Final answer
    x = 413.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.