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Finding the Fourth Proportional to 349.24, 484.19 and 329.80

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Solution

The fourth proportional to 349.24, 484.19 and 329.80 is: 457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.24 : 484.19 = 329.80 : x
  2. Step 2: Convert to fraction form
    349.24/484.19 = 329.80/x
  3. Step 3: Cross multiply
    349.24x = 484.19 × 329.80
  4. Step 4: Simplify right side
    349.24x = 159,685.86
  5. Step 5: Solve for x
    x = 159,685.86/349.24
  6. Step 6: Final answer
    x = 457.24

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