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Finding the Fourth Proportional to 344.25, 474.09 and 313.49

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Solution

The fourth proportional to 344.25, 474.09 and 313.49 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 474.09 = 313.49 : x
  2. Step 2: Convert to fraction form
    344.25/474.09 = 313.49/x
  3. Step 3: Cross multiply
    344.25x = 474.09 × 313.49
  4. Step 4: Simplify right side
    344.25x = 148,622.47
  5. Step 5: Solve for x
    x = 148,622.47/344.25
  6. Step 6: Final answer
    x = 431.73

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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.