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Finding the Fourth Proportional to 409.88, 612.03 and 363.71

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Solution

The fourth proportional to 409.88, 612.03 and 363.71 is: 543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 612.03 = 363.71 : x
  2. Step 2: Convert to fraction form
    409.88/612.03 = 363.71/x
  3. Step 3: Cross multiply
    409.88x = 612.03 × 363.71
  4. Step 4: Simplify right side
    409.88x = 222,598.37
  5. Step 5: Solve for x
    x = 222,598.37/409.88
  6. Step 6: Final answer
    x = 543.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.