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Finding the Fourth Proportional to 328.62, 453.63 and 224.05

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Solution

The fourth proportional to 328.62, 453.63 and 224.05 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.62 : 453.63 = 224.05 : x
  2. Step 2: Convert to fraction form
    328.62/453.63 = 224.05/x
  3. Step 3: Cross multiply
    328.62x = 453.63 × 224.05
  4. Step 4: Simplify right side
    328.62x = 101,637.80
  5. Step 5: Solve for x
    x = 101,637.80/328.62
  6. Step 6: Final answer
    x = 309.29

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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.