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Finding the Fourth Proportional to 329.08, 456.06 and 322.94

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Solution

The fourth proportional to 329.08, 456.06 and 322.94 is: 447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.08 : 456.06 = 322.94 : x
  2. Step 2: Convert to fraction form
    329.08/456.06 = 322.94/x
  3. Step 3: Cross multiply
    329.08x = 456.06 × 322.94
  4. Step 4: Simplify right side
    329.08x = 147,280.02
  5. Step 5: Solve for x
    x = 147,280.02/329.08
  6. Step 6: Final answer
    x = 447.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.