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Finding the Fourth Proportional to 339.70, 466.46 and 273.70

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Solution

The fourth proportional to 339.70, 466.46 and 273.70 is: 375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.70 : 466.46 = 273.70 : x
  2. Step 2: Convert to fraction form
    339.70/466.46 = 273.70/x
  3. Step 3: Cross multiply
    339.70x = 466.46 × 273.70
  4. Step 4: Simplify right side
    339.70x = 127,670.10
  5. Step 5: Solve for x
    x = 127,670.10/339.70
  6. Step 6: Final answer
    x = 375.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.