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Finding the Fourth Proportional to 347.80, 476.81 and 347.38

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Solution

The fourth proportional to 347.80, 476.81 and 347.38 is: 476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.80 : 476.81 = 347.38 : x
  2. Step 2: Convert to fraction form
    347.80/476.81 = 347.38/x
  3. Step 3: Cross multiply
    347.80x = 476.81 × 347.38
  4. Step 4: Simplify right side
    347.80x = 165,634.26
  5. Step 5: Solve for x
    x = 165,634.26/347.80
  6. Step 6: Final answer
    x = 476.23

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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.