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Finding the Fourth Proportional to 349.54, 479.97 and 312.68

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Solution

The fourth proportional to 349.54, 479.97 and 312.68 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.54 : 479.97 = 312.68 : x
  2. Step 2: Convert to fraction form
    349.54/479.97 = 312.68/x
  3. Step 3: Cross multiply
    349.54x = 479.97 × 312.68
  4. Step 4: Simplify right side
    349.54x = 150,078.22
  5. Step 5: Solve for x
    x = 150,078.22/349.54
  6. Step 6: Final answer
    x = 429.36

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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.