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Finding the Fourth Proportional to 354.19, 488.73 and 221.35

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Solution

The fourth proportional to 354.19, 488.73 and 221.35 is: 305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.19 : 488.73 = 221.35 : x
  2. Step 2: Convert to fraction form
    354.19/488.73 = 221.35/x
  3. Step 3: Cross multiply
    354.19x = 488.73 × 221.35
  4. Step 4: Simplify right side
    354.19x = 108,180.39
  5. Step 5: Solve for x
    x = 108,180.39/354.19
  6. Step 6: Final answer
    x = 305.43

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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.