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Finding the Fourth Proportional to 343.09, 472.73 and 232.37

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Solution

The fourth proportional to 343.09, 472.73 and 232.37 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.09 : 472.73 = 232.37 : x
  2. Step 2: Convert to fraction form
    343.09/472.73 = 232.37/x
  3. Step 3: Cross multiply
    343.09x = 472.73 × 232.37
  4. Step 4: Simplify right side
    343.09x = 109,848.29
  5. Step 5: Solve for x
    x = 109,848.29/343.09
  6. Step 6: Final answer
    x = 320.17

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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.