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Finding the Fourth Proportional to 354.90, 489.77 and 197.54

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Solution

The fourth proportional to 354.90, 489.77 and 197.54 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.90 : 489.77 = 197.54 : x
  2. Step 2: Convert to fraction form
    354.90/489.77 = 197.54/x
  3. Step 3: Cross multiply
    354.90x = 489.77 × 197.54
  4. Step 4: Simplify right side
    354.90x = 96,748.18
  5. Step 5: Solve for x
    x = 96,748.18/354.90
  6. Step 6: Final answer
    x = 272.61

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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.