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Finding the Fourth Proportional to 284.44, 429.22 and 274.26

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Solution

The fourth proportional to 284.44, 429.22 and 274.26 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.44 : 429.22 = 274.26 : x
  2. Step 2: Convert to fraction form
    284.44/429.22 = 274.26/x
  3. Step 3: Cross multiply
    284.44x = 429.22 × 274.26
  4. Step 4: Simplify right side
    284.44x = 117,717.88
  5. Step 5: Solve for x
    x = 117,717.88/284.44
  6. Step 6: Final answer
    x = 413.86

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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.