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Finding the Fourth Proportional to 354.09, 488.88 and 221.51

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Solution

The fourth proportional to 354.09, 488.88 and 221.51 is: 305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.09 : 488.88 = 221.51 : x
  2. Step 2: Convert to fraction form
    354.09/488.88 = 221.51/x
  3. Step 3: Cross multiply
    354.09x = 488.88 × 221.51
  4. Step 4: Simplify right side
    354.09x = 108,291.81
  5. Step 5: Solve for x
    x = 108,291.81/354.09
  6. Step 6: Final answer
    x = 305.83

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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.