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Finding the Fourth Proportional to 329.26, 451.08 and 316.95

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Solution

The fourth proportional to 329.26, 451.08 and 316.95 is: 434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.26 : 451.08 = 316.95 : x
  2. Step 2: Convert to fraction form
    329.26/451.08 = 316.95/x
  3. Step 3: Cross multiply
    329.26x = 451.08 × 316.95
  4. Step 4: Simplify right side
    329.26x = 142,969.81
  5. Step 5: Solve for x
    x = 142,969.81/329.26
  6. Step 6: Final answer
    x = 434.22

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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.