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Finding the Fourth Proportional to 344.80, 476.49 and 256.41

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Solution

The fourth proportional to 344.80, 476.49 and 256.41 is: 354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.80 : 476.49 = 256.41 : x
  2. Step 2: Convert to fraction form
    344.80/476.49 = 256.41/x
  3. Step 3: Cross multiply
    344.80x = 476.49 × 256.41
  4. Step 4: Simplify right side
    344.80x = 122,176.80
  5. Step 5: Solve for x
    x = 122,176.80/344.80
  6. Step 6: Final answer
    x = 354.34

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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.