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Finding the Fourth Proportional to 538.12, 808.02 and 343.72

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Solution

The fourth proportional to 538.12, 808.02 and 343.72 is: 516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.12 : 808.02 = 343.72 : x
  2. Step 2: Convert to fraction form
    538.12/808.02 = 343.72/x
  3. Step 3: Cross multiply
    538.12x = 808.02 × 343.72
  4. Step 4: Simplify right side
    538.12x = 277,732.63
  5. Step 5: Solve for x
    x = 277,732.63/538.12
  6. Step 6: Final answer
    x = 516.12

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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.