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Finding the Fourth Proportional to 383.03, 573.61 and 218.00

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Solution

The fourth proportional to 383.03, 573.61 and 218.00 is: 326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.03 : 573.61 = 218.00 : x
  2. Step 2: Convert to fraction form
    383.03/573.61 = 218.00/x
  3. Step 3: Cross multiply
    383.03x = 573.61 × 218.00
  4. Step 4: Simplify right side
    383.03x = 125,044.79
  5. Step 5: Solve for x
    x = 125,044.79/383.03
  6. Step 6: Final answer
    x = 326.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.