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Finding the Fourth Proportional to 409.13, 612.78 and 192.25

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Solution

The fourth proportional to 409.13, 612.78 and 192.25 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.13 : 612.78 = 192.25 : x
  2. Step 2: Convert to fraction form
    409.13/612.78 = 192.25/x
  3. Step 3: Cross multiply
    409.13x = 612.78 × 192.25
  4. Step 4: Simplify right side
    409.13x = 117,806.96
  5. Step 5: Solve for x
    x = 117,806.96/409.13
  6. Step 6: Final answer
    x = 287.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.