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Finding the Fourth Proportional to 354.78, 489.63 and 223.78

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Solution

The fourth proportional to 354.78, 489.63 and 223.78 is: 308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 489.63 = 223.78 : x
  2. Step 2: Convert to fraction form
    354.78/489.63 = 223.78/x
  3. Step 3: Cross multiply
    354.78x = 489.63 × 223.78
  4. Step 4: Simplify right side
    354.78x = 109,569.40
  5. Step 5: Solve for x
    x = 109,569.40/354.78
  6. Step 6: Final answer
    x = 308.84

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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.