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Finding the Fourth Proportional to 362.92, 546.42 and 319.85

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Solution

The fourth proportional to 362.92, 546.42 and 319.85 is: 481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.92 : 546.42 = 319.85 : x
  2. Step 2: Convert to fraction form
    362.92/546.42 = 319.85/x
  3. Step 3: Cross multiply
    362.92x = 546.42 × 319.85
  4. Step 4: Simplify right side
    362.92x = 174,774.23
  5. Step 5: Solve for x
    x = 174,774.23/362.92
  6. Step 6: Final answer
    x = 481.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.