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Finding the Fourth Proportional to 485.51, 727.92 and 211.41

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Solution

The fourth proportional to 485.51, 727.92 and 211.41 is: 316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.51 : 727.92 = 211.41 : x
  2. Step 2: Convert to fraction form
    485.51/727.92 = 211.41/x
  3. Step 3: Cross multiply
    485.51x = 727.92 × 211.41
  4. Step 4: Simplify right side
    485.51x = 153,889.57
  5. Step 5: Solve for x
    x = 153,889.57/485.51
  6. Step 6: Final answer
    x = 316.97

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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.