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Finding the Fourth Proportional to 344.20, 471.77 and 341.80

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Solution

The fourth proportional to 344.20, 471.77 and 341.80 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.20 : 471.77 = 341.80 : x
  2. Step 2: Convert to fraction form
    344.20/471.77 = 341.80/x
  3. Step 3: Cross multiply
    344.20x = 471.77 × 341.80
  4. Step 4: Simplify right side
    344.20x = 161,250.99
  5. Step 5: Solve for x
    x = 161,250.99/344.20
  6. Step 6: Final answer
    x = 468.48

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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.