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Finding the Fourth Proportional to 434.21, 650.76 and 217.85

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Solution

The fourth proportional to 434.21, 650.76 and 217.85 is: 326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.21 : 650.76 = 217.85 : x
  2. Step 2: Convert to fraction form
    434.21/650.76 = 217.85/x
  3. Step 3: Cross multiply
    434.21x = 650.76 × 217.85
  4. Step 4: Simplify right side
    434.21x = 141,768.07
  5. Step 5: Solve for x
    x = 141,768.07/434.21
  6. Step 6: Final answer
    x = 326.50

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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.