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Finding the Fourth Proportional to 538.97, 808.28 and 343.69

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Solution

The fourth proportional to 538.97, 808.28 and 343.69 is: 515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.97 : 808.28 = 343.69 : x
  2. Step 2: Convert to fraction form
    538.97/808.28 = 343.69/x
  3. Step 3: Cross multiply
    538.97x = 808.28 × 343.69
  4. Step 4: Simplify right side
    538.97x = 277,795.30
  5. Step 5: Solve for x
    x = 277,795.30/538.97
  6. Step 6: Final answer
    x = 515.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.