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Finding the Fourth Proportional to 360.51, 539.52 and 279.72

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Solution

The fourth proportional to 360.51, 539.52 and 279.72 is: 418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.51 : 539.52 = 279.72 : x
  2. Step 2: Convert to fraction form
    360.51/539.52 = 279.72/x
  3. Step 3: Cross multiply
    360.51x = 539.52 × 279.72
  4. Step 4: Simplify right side
    360.51x = 150,914.53
  5. Step 5: Solve for x
    x = 150,914.53/360.51
  6. Step 6: Final answer
    x = 418.61

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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.