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Finding the Fourth Proportional to 341.97, 471.72 and 231.33

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Solution

The fourth proportional to 341.97, 471.72 and 231.33 is: 319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.97 : 471.72 = 231.33 : x
  2. Step 2: Convert to fraction form
    341.97/471.72 = 231.33/x
  3. Step 3: Cross multiply
    341.97x = 471.72 × 231.33
  4. Step 4: Simplify right side
    341.97x = 109,122.99
  5. Step 5: Solve for x
    x = 109,122.99/341.97
  6. Step 6: Final answer
    x = 319.10

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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.