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Finding the Fourth Proportional to 354.64, 489.40 and 223.72

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Solution

The fourth proportional to 354.64, 489.40 and 223.72 is: 308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.64 : 489.40 = 223.72 : x
  2. Step 2: Convert to fraction form
    354.64/489.40 = 223.72/x
  3. Step 3: Cross multiply
    354.64x = 489.40 × 223.72
  4. Step 4: Simplify right side
    354.64x = 109,488.57
  5. Step 5: Solve for x
    x = 109,488.57/354.64
  6. Step 6: Final answer
    x = 308.73

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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.