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Finding the Fourth Proportional to 275.96, 381.14 and 210.32

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Solution

The fourth proportional to 275.96, 381.14 and 210.32 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.96 : 381.14 = 210.32 : x
  2. Step 2: Convert to fraction form
    275.96/381.14 = 210.32/x
  3. Step 3: Cross multiply
    275.96x = 381.14 × 210.32
  4. Step 4: Simplify right side
    275.96x = 80,161.36
  5. Step 5: Solve for x
    x = 80,161.36/275.96
  6. Step 6: Final answer
    x = 290.48

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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.