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Finding the Fourth Proportional to 496.15, 684.65 and 275.09

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Solution

The fourth proportional to 496.15, 684.65 and 275.09 is: 379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.15 : 684.65 = 275.09 : x
  2. Step 2: Convert to fraction form
    496.15/684.65 = 275.09/x
  3. Step 3: Cross multiply
    496.15x = 684.65 × 275.09
  4. Step 4: Simplify right side
    496.15x = 188,337.63
  5. Step 5: Solve for x
    x = 188,337.63/496.15
  6. Step 6: Final answer
    x = 379.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.