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Finding the Fourth Proportional to 313.76, 472.48 and 273.66

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Solution

The fourth proportional to 313.76, 472.48 and 273.66 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 472.48 = 273.66 : x
  2. Step 2: Convert to fraction form
    313.76/472.48 = 273.66/x
  3. Step 3: Cross multiply
    313.76x = 472.48 × 273.66
  4. Step 4: Simplify right side
    313.76x = 129,298.88
  5. Step 5: Solve for x
    x = 129,298.88/313.76
  6. Step 6: Final answer
    x = 412.09

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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.