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Finding the Fourth Proportional to 328.50, 453.17 and 210.41

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Solution

The fourth proportional to 328.50, 453.17 and 210.41 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.50 : 453.17 = 210.41 : x
  2. Step 2: Convert to fraction form
    328.50/453.17 = 210.41/x
  3. Step 3: Cross multiply
    328.50x = 453.17 × 210.41
  4. Step 4: Simplify right side
    328.50x = 95,351.50
  5. Step 5: Solve for x
    x = 95,351.50/328.50
  6. Step 6: Final answer
    x = 290.26

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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.