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Finding the Fourth Proportional to 360.30, 538.17 and 309.09

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Solution

The fourth proportional to 360.30, 538.17 and 309.09 is: 461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.30 : 538.17 = 309.09 : x
  2. Step 2: Convert to fraction form
    360.30/538.17 = 309.09/x
  3. Step 3: Cross multiply
    360.30x = 538.17 × 309.09
  4. Step 4: Simplify right side
    360.30x = 166,342.97
  5. Step 5: Solve for x
    x = 166,342.97/360.30
  6. Step 6: Final answer
    x = 461.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.