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Finding the Fourth Proportional to 409.18, 613.17 and 189.87

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Solution

The fourth proportional to 409.18, 613.17 and 189.87 is: 284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.18 : 613.17 = 189.87 : x
  2. Step 2: Convert to fraction form
    409.18/613.17 = 189.87/x
  3. Step 3: Cross multiply
    409.18x = 613.17 × 189.87
  4. Step 4: Simplify right side
    409.18x = 116,418.57
  5. Step 5: Solve for x
    x = 116,418.57/409.18
  6. Step 6: Final answer
    x = 284.52

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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.