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Finding the Fourth Proportional to 360.09, 537.05 and 308.25

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Solution

The fourth proportional to 360.09, 537.05 and 308.25 is: 459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.09 : 537.05 = 308.25 : x
  2. Step 2: Convert to fraction form
    360.09/537.05 = 308.25/x
  3. Step 3: Cross multiply
    360.09x = 537.05 × 308.25
  4. Step 4: Simplify right side
    360.09x = 165,546.43
  5. Step 5: Solve for x
    x = 165,546.43/360.09
  6. Step 6: Final answer
    x = 459.74

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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.