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Finding the Fourth Proportional to 328.06, 452.91 and 217.69

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Solution

The fourth proportional to 328.06, 452.91 and 217.69 is: 300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.06 : 452.91 = 217.69 : x
  2. Step 2: Convert to fraction form
    328.06/452.91 = 217.69/x
  3. Step 3: Cross multiply
    328.06x = 452.91 × 217.69
  4. Step 4: Simplify right side
    328.06x = 98,591.71
  5. Step 5: Solve for x
    x = 98,591.71/328.06
  6. Step 6: Final answer
    x = 300.53

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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.