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Finding the Fourth Proportional to 343.15, 472.72 and 273.19

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Solution

The fourth proportional to 343.15, 472.72 and 273.19 is: 376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.15 : 472.72 = 273.19 : x
  2. Step 2: Convert to fraction form
    343.15/472.72 = 273.19/x
  3. Step 3: Cross multiply
    343.15x = 472.72 × 273.19
  4. Step 4: Simplify right side
    343.15x = 129,140.01
  5. Step 5: Solve for x
    x = 129,140.01/343.15
  6. Step 6: Final answer
    x = 376.34

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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.