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Finding the Fourth Proportional to 357.46, 492.93 and 273.38

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Solution

The fourth proportional to 357.46, 492.93 and 273.38 is: 376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.46 : 492.93 = 273.38 : x
  2. Step 2: Convert to fraction form
    357.46/492.93 = 273.38/x
  3. Step 3: Cross multiply
    357.46x = 492.93 × 273.38
  4. Step 4: Simplify right side
    357.46x = 134,754.74
  5. Step 5: Solve for x
    x = 134,754.74/357.46
  6. Step 6: Final answer
    x = 376.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.