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Finding the Fourth Proportional to 429.14, 644.74 and 275.37

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Solution

The fourth proportional to 429.14, 644.74 and 275.37 is: 413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 644.74 = 275.37 : x
  2. Step 2: Convert to fraction form
    429.14/644.74 = 275.37/x
  3. Step 3: Cross multiply
    429.14x = 644.74 × 275.37
  4. Step 4: Simplify right side
    429.14x = 177,537.45
  5. Step 5: Solve for x
    x = 177,537.45/429.14
  6. Step 6: Final answer
    x = 413.71

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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.