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Finding the Fourth Proportional to 354.22, 489.17 and 292.25

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Solution

The fourth proportional to 354.22, 489.17 and 292.25 is: 403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.22 : 489.17 = 292.25 : x
  2. Step 2: Convert to fraction form
    354.22/489.17 = 292.25/x
  3. Step 3: Cross multiply
    354.22x = 489.17 × 292.25
  4. Step 4: Simplify right side
    354.22x = 142,959.93
  5. Step 5: Solve for x
    x = 142,959.93/354.22
  6. Step 6: Final answer
    x = 403.59

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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.