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Finding the Fourth Proportional to 411.81, 617.62 and 192.41

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Solution

The fourth proportional to 411.81, 617.62 and 192.41 is: 288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.81 : 617.62 = 192.41 : x
  2. Step 2: Convert to fraction form
    411.81/617.62 = 192.41/x
  3. Step 3: Cross multiply
    411.81x = 617.62 × 192.41
  4. Step 4: Simplify right side
    411.81x = 118,836.26
  5. Step 5: Solve for x
    x = 118,836.26/411.81
  6. Step 6: Final answer
    x = 288.57

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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.