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Finding the Fourth Proportional to 329.15, 461.45 and 329.15

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Solution

The fourth proportional to 329.15, 461.45 and 329.15 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.15 : 461.45 = 329.15 : x
  2. Step 2: Convert to fraction form
    329.15/461.45 = 329.15/x
  3. Step 3: Cross multiply
    329.15x = 461.45 × 329.15
  4. Step 4: Simplify right side
    329.15x = 151,886.27
  5. Step 5: Solve for x
    x = 151,886.27/329.15
  6. Step 6: Final answer
    x = 461.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.