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Finding the Fourth Proportional to 538.70, 808.17 and 192.09

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Solution

The fourth proportional to 538.70, 808.17 and 192.09 is: 288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.70 : 808.17 = 192.09 : x
  2. Step 2: Convert to fraction form
    538.70/808.17 = 192.09/x
  3. Step 3: Cross multiply
    538.70x = 808.17 × 192.09
  4. Step 4: Simplify right side
    538.70x = 155,241.38
  5. Step 5: Solve for x
    x = 155,241.38/538.70
  6. Step 6: Final answer
    x = 288.18

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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.