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Finding the Fourth Proportional to 310.96, 426.84 and 275.21

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Solution

The fourth proportional to 310.96, 426.84 and 275.21 is: 377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.96 : 426.84 = 275.21 : x
  2. Step 2: Convert to fraction form
    310.96/426.84 = 275.21/x
  3. Step 3: Cross multiply
    310.96x = 426.84 × 275.21
  4. Step 4: Simplify right side
    310.96x = 117,472.63
  5. Step 5: Solve for x
    x = 117,472.63/310.96
  6. Step 6: Final answer
    x = 377.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.