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Finding the Fourth Proportional to 354.48, 489.06 and 223.44

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Solution

The fourth proportional to 354.48, 489.06 and 223.44 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.48 : 489.06 = 223.44 : x
  2. Step 2: Convert to fraction form
    354.48/489.06 = 223.44/x
  3. Step 3: Cross multiply
    354.48x = 489.06 × 223.44
  4. Step 4: Simplify right side
    354.48x = 109,275.57
  5. Step 5: Solve for x
    x = 109,275.57/354.48
  6. Step 6: Final answer
    x = 308.27

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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.