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Finding the Fourth Proportional to 413.67, 571.28 and 331.41

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Solution

The fourth proportional to 413.67, 571.28 and 331.41 is: 457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 571.28 = 331.41 : x
  2. Step 2: Convert to fraction form
    413.67/571.28 = 331.41/x
  3. Step 3: Cross multiply
    413.67x = 571.28 × 331.41
  4. Step 4: Simplify right side
    413.67x = 189,326.25
  5. Step 5: Solve for x
    x = 189,326.25/413.67
  6. Step 6: Final answer
    x = 457.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.