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Finding the Fourth Proportional to 354.61, 489.23 and 205.21

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Solution

The fourth proportional to 354.61, 489.23 and 205.21 is: 283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.61 : 489.23 = 205.21 : x
  2. Step 2: Convert to fraction form
    354.61/489.23 = 205.21/x
  3. Step 3: Cross multiply
    354.61x = 489.23 × 205.21
  4. Step 4: Simplify right side
    354.61x = 100,394.89
  5. Step 5: Solve for x
    x = 100,394.89/354.61
  6. Step 6: Final answer
    x = 283.11

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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.