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Finding the Fourth Proportional to 446.38, 616.32 and 271.96

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Solution

The fourth proportional to 446.38, 616.32 and 271.96 is: 375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.38 : 616.32 = 271.96 : x
  2. Step 2: Convert to fraction form
    446.38/616.32 = 271.96/x
  3. Step 3: Cross multiply
    446.38x = 616.32 × 271.96
  4. Step 4: Simplify right side
    446.38x = 167,614.39
  5. Step 5: Solve for x
    x = 167,614.39/446.38
  6. Step 6: Final answer
    x = 375.50

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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.