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Finding the Fourth Proportional to 383.21, 528.86 and 217.47

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Solution

The fourth proportional to 383.21, 528.86 and 217.47 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.21 : 528.86 = 217.47 : x
  2. Step 2: Convert to fraction form
    383.21/528.86 = 217.47/x
  3. Step 3: Cross multiply
    383.21x = 528.86 × 217.47
  4. Step 4: Simplify right side
    383.21x = 115,010.74
  5. Step 5: Solve for x
    x = 115,010.74/383.21
  6. Step 6: Final answer
    x = 300.12

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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.