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Finding the Fourth Proportional to 349.23, 480.84 and 316.83

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Solution

The fourth proportional to 349.23, 480.84 and 316.83 is: 436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 480.84 = 316.83 : x
  2. Step 2: Convert to fraction form
    349.23/480.84 = 316.83/x
  3. Step 3: Cross multiply
    349.23x = 480.84 × 316.83
  4. Step 4: Simplify right side
    349.23x = 152,344.54
  5. Step 5: Solve for x
    x = 152,344.54/349.23
  6. Step 6: Final answer
    x = 436.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.