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Finding the Fourth Proportional to 485.67, 727.97 and 211.35

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Solution

The fourth proportional to 485.67, 727.97 and 211.35 is: 316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.67 : 727.97 = 211.35 : x
  2. Step 2: Convert to fraction form
    485.67/727.97 = 211.35/x
  3. Step 3: Cross multiply
    485.67x = 727.97 × 211.35
  4. Step 4: Simplify right side
    485.67x = 153,855.40
  5. Step 5: Solve for x
    x = 153,855.40/485.67
  6. Step 6: Final answer
    x = 316.79

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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.