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Finding the Fourth Proportional to 434.38, 651.82 and 217.96

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Solution

The fourth proportional to 434.38, 651.82 and 217.96 is: 327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.38 : 651.82 = 217.96 : x
  2. Step 2: Convert to fraction form
    434.38/651.82 = 217.96/x
  3. Step 3: Cross multiply
    434.38x = 651.82 × 217.96
  4. Step 4: Simplify right side
    434.38x = 142,070.69
  5. Step 5: Solve for x
    x = 142,070.69/434.38
  6. Step 6: Final answer
    x = 327.07

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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.