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Finding the Fourth Proportional to 328.49, 490.74 and 211.98

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Solution

The fourth proportional to 328.49, 490.74 and 211.98 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.49 : 490.74 = 211.98 : x
  2. Step 2: Convert to fraction form
    328.49/490.74 = 211.98/x
  3. Step 3: Cross multiply
    328.49x = 490.74 × 211.98
  4. Step 4: Simplify right side
    328.49x = 104,029.30
  5. Step 5: Solve for x
    x = 104,029.30/328.49
  6. Step 6: Final answer
    x = 316.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.