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Finding the Fourth Proportional to 349.83, 478.97 and 346.49

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Solution

The fourth proportional to 349.83, 478.97 and 346.49 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.83 : 478.97 = 346.49 : x
  2. Step 2: Convert to fraction form
    349.83/478.97 = 346.49/x
  3. Step 3: Cross multiply
    349.83x = 478.97 × 346.49
  4. Step 4: Simplify right side
    349.83x = 165,954.19
  5. Step 5: Solve for x
    x = 165,954.19/349.83
  6. Step 6: Final answer
    x = 474.39

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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.