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Finding the Fourth Proportional to 314.07, 472.98 and 273.97

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Solution

The fourth proportional to 314.07, 472.98 and 273.97 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.07 : 472.98 = 273.97 : x
  2. Step 2: Convert to fraction form
    314.07/472.98 = 273.97/x
  3. Step 3: Cross multiply
    314.07x = 472.98 × 273.97
  4. Step 4: Simplify right side
    314.07x = 129,582.33
  5. Step 5: Solve for x
    x = 129,582.33/314.07
  6. Step 6: Final answer
    x = 412.59

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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.