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Finding the Fourth Proportional to 313.86, 472.64 and 273.77

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Solution

The fourth proportional to 313.86, 472.64 and 273.77 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.86 : 472.64 = 273.77 : x
  2. Step 2: Convert to fraction form
    313.86/472.64 = 273.77/x
  3. Step 3: Cross multiply
    313.86x = 472.64 × 273.77
  4. Step 4: Simplify right side
    313.86x = 129,390.92
  5. Step 5: Solve for x
    x = 129,390.92/313.86
  6. Step 6: Final answer
    x = 412.26

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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.