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Finding the Fourth Proportional to 347.83, 476.22 and 344.49

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Solution

The fourth proportional to 347.83, 476.22 and 344.49 is: 471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.83 : 476.22 = 344.49 : x
  2. Step 2: Convert to fraction form
    347.83/476.22 = 344.49/x
  3. Step 3: Cross multiply
    347.83x = 476.22 × 344.49
  4. Step 4: Simplify right side
    347.83x = 164,053.03
  5. Step 5: Solve for x
    x = 164,053.03/347.83
  6. Step 6: Final answer
    x = 471.65

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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.