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Finding the Fourth Proportional to 485.33, 727.89 and 221.71

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Solution

The fourth proportional to 485.33, 727.89 and 221.71 is: 332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.33 : 727.89 = 221.71 : x
  2. Step 2: Convert to fraction form
    485.33/727.89 = 221.71/x
  3. Step 3: Cross multiply
    485.33x = 727.89 × 221.71
  4. Step 4: Simplify right side
    485.33x = 161,383.12
  5. Step 5: Solve for x
    x = 161,383.12/485.33
  6. Step 6: Final answer
    x = 332.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.