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Finding the Fourth Proportional to 328.01, 490.98 and 218.11

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Solution

The fourth proportional to 328.01, 490.98 and 218.11 is: 326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.01 : 490.98 = 218.11 : x
  2. Step 2: Convert to fraction form
    328.01/490.98 = 218.11/x
  3. Step 3: Cross multiply
    328.01x = 490.98 × 218.11
  4. Step 4: Simplify right side
    328.01x = 107,085.19
  5. Step 5: Solve for x
    x = 107,085.19/328.01
  6. Step 6: Final answer
    x = 326.47

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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.