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Finding the Fourth Proportional to 343.71, 476.42 and 338.58

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Solution

The fourth proportional to 343.71, 476.42 and 338.58 is: 469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.71 : 476.42 = 338.58 : x
  2. Step 2: Convert to fraction form
    343.71/476.42 = 338.58/x
  3. Step 3: Cross multiply
    343.71x = 476.42 × 338.58
  4. Step 4: Simplify right side
    343.71x = 161,304.59
  5. Step 5: Solve for x
    x = 161,304.59/343.71
  6. Step 6: Final answer
    x = 469.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.