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Finding the Fourth Proportional to 344.23, 516.34 and 275.66

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Solution

The fourth proportional to 344.23, 516.34 and 275.66 is: 413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.23 : 516.34 = 275.66 : x
  2. Step 2: Convert to fraction form
    344.23/516.34 = 275.66/x
  3. Step 3: Cross multiply
    344.23x = 516.34 × 275.66
  4. Step 4: Simplify right side
    344.23x = 142,334.28
  5. Step 5: Solve for x
    x = 142,334.28/344.23
  6. Step 6: Final answer
    x = 413.49

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Double scale
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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.