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Finding the Fourth Proportional to 344.76, 473.55 and 300.84

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Solution

The fourth proportional to 344.76, 473.55 and 300.84 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.76 : 473.55 = 300.84 : x
  2. Step 2: Convert to fraction form
    344.76/473.55 = 300.84/x
  3. Step 3: Cross multiply
    344.76x = 473.55 × 300.84
  4. Step 4: Simplify right side
    344.76x = 142,462.78
  5. Step 5: Solve for x
    x = 142,462.78/344.76
  6. Step 6: Final answer
    x = 413.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.