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Finding the Fourth Proportional to 275.49, 413.06 and 234.99

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Solution

The fourth proportional to 275.49, 413.06 and 234.99 is: 352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.49 : 413.06 = 234.99 : x
  2. Step 2: Convert to fraction form
    275.49/413.06 = 234.99/x
  3. Step 3: Cross multiply
    275.49x = 413.06 × 234.99
  4. Step 4: Simplify right side
    275.49x = 97,063.79
  5. Step 5: Solve for x
    x = 97,063.79/275.49
  6. Step 6: Final answer
    x = 352.33

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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.