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Finding the Fourth Proportional to 354.63, 489.43 and 199.41

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Solution

The fourth proportional to 354.63, 489.43 and 199.41 is: 275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.63 : 489.43 = 199.41 : x
  2. Step 2: Convert to fraction form
    354.63/489.43 = 199.41/x
  3. Step 3: Cross multiply
    354.63x = 489.43 × 199.41
  4. Step 4: Simplify right side
    354.63x = 97,597.24
  5. Step 5: Solve for x
    x = 97,597.24/354.63
  6. Step 6: Final answer
    x = 275.21

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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.