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Finding the Fourth Proportional to 354.44, 489.25 and 207.12

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Solution

The fourth proportional to 354.44, 489.25 and 207.12 is: 285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.44 : 489.25 = 207.12 : x
  2. Step 2: Convert to fraction form
    354.44/489.25 = 207.12/x
  3. Step 3: Cross multiply
    354.44x = 489.25 × 207.12
  4. Step 4: Simplify right side
    354.44x = 101,333.46
  5. Step 5: Solve for x
    x = 101,333.46/354.44
  6. Step 6: Final answer
    x = 285.90

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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.