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Finding the Fourth Proportional to 328.06, 452.49 and 217.48

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Solution

The fourth proportional to 328.06, 452.49 and 217.48 is: 299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.06 : 452.49 = 217.48 : x
  2. Step 2: Convert to fraction form
    328.06/452.49 = 217.48/x
  3. Step 3: Cross multiply
    328.06x = 452.49 × 217.48
  4. Step 4: Simplify right side
    328.06x = 98,407.53
  5. Step 5: Solve for x
    x = 98,407.53/328.06
  6. Step 6: Final answer
    x = 299.97

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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.