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Finding the Fourth Proportional to 329.51, 454.57 and 231.39

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Solution

The fourth proportional to 329.51, 454.57 and 231.39 is: 319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.51 : 454.57 = 231.39 : x
  2. Step 2: Convert to fraction form
    329.51/454.57 = 231.39/x
  3. Step 3: Cross multiply
    329.51x = 454.57 × 231.39
  4. Step 4: Simplify right side
    329.51x = 105,182.95
  5. Step 5: Solve for x
    x = 105,182.95/329.51
  6. Step 6: Final answer
    x = 319.21

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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.