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Finding the Fourth Proportional to 383.83, 529.73 and 218.00

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Solution

The fourth proportional to 383.83, 529.73 and 218.00 is: 300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.83 : 529.73 = 218.00 : x
  2. Step 2: Convert to fraction form
    383.83/529.73 = 218.00/x
  3. Step 3: Cross multiply
    383.83x = 529.73 × 218.00
  4. Step 4: Simplify right side
    383.83x = 115,484.41
  5. Step 5: Solve for x
    x = 115,484.41/383.83
  6. Step 6: Final answer
    x = 300.88

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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.