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Finding the Fourth Proportional to 310.67, 465.82 and 137.23

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Solution

The fourth proportional to 310.67, 465.82 and 137.23 is: 205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.67 : 465.82 = 137.23 : x
  2. Step 2: Convert to fraction form
    310.67/465.82 = 137.23/x
  3. Step 3: Cross multiply
    310.67x = 465.82 × 137.23
  4. Step 4: Simplify right side
    310.67x = 63,922.97
  5. Step 5: Solve for x
    x = 63,922.97/310.67
  6. Step 6: Final answer
    x = 205.76

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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.