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Finding the Fourth Proportional to 383.59, 529.28 and 217.74

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Solution

The fourth proportional to 383.59, 529.28 and 217.74 is: 300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.59 : 529.28 = 217.74 : x
  2. Step 2: Convert to fraction form
    383.59/529.28 = 217.74/x
  3. Step 3: Cross multiply
    383.59x = 529.28 × 217.74
  4. Step 4: Simplify right side
    383.59x = 115,245.39
  5. Step 5: Solve for x
    x = 115,245.39/383.59
  6. Step 6: Final answer
    x = 300.44

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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.