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Finding the Fourth Proportional to 275.78, 413.28 and 214.64

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Solution

The fourth proportional to 275.78, 413.28 and 214.64 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 413.28 = 214.64 : x
  2. Step 2: Convert to fraction form
    275.78/413.28 = 214.64/x
  3. Step 3: Cross multiply
    275.78x = 413.28 × 214.64
  4. Step 4: Simplify right side
    275.78x = 88,706.42
  5. Step 5: Solve for x
    x = 88,706.42/275.78
  6. Step 6: Final answer
    x = 321.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.