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Finding the Fourth Proportional to 383.68, 529.50 and 217.90

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Solution

The fourth proportional to 383.68, 529.50 and 217.90 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.68 : 529.50 = 217.90 : x
  2. Step 2: Convert to fraction form
    383.68/529.50 = 217.90/x
  3. Step 3: Cross multiply
    383.68x = 529.50 × 217.90
  4. Step 4: Simplify right side
    383.68x = 115,378.05
  5. Step 5: Solve for x
    x = 115,378.05/383.68
  6. Step 6: Final answer
    x = 300.71

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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.