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Finding the Fourth Proportional to 329.81, 454.47 and 306.75

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Solution

The fourth proportional to 329.81, 454.47 and 306.75 is: 422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.81 : 454.47 = 306.75 : x
  2. Step 2: Convert to fraction form
    329.81/454.47 = 306.75/x
  3. Step 3: Cross multiply
    329.81x = 454.47 × 306.75
  4. Step 4: Simplify right side
    329.81x = 139,406.40
  5. Step 5: Solve for x
    x = 139,406.40/329.81
  6. Step 6: Final answer
    x = 422.69

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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.