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Finding the Fourth Proportional to 310.45, 428.35 and 179.42

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Solution

The fourth proportional to 310.45, 428.35 and 179.42 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.45 : 428.35 = 179.42 : x
  2. Step 2: Convert to fraction form
    310.45/428.35 = 179.42/x
  3. Step 3: Cross multiply
    310.45x = 428.35 × 179.42
  4. Step 4: Simplify right side
    310.45x = 76,854.56
  5. Step 5: Solve for x
    x = 76,854.56/310.45
  6. Step 6: Final answer
    x = 247.56

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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.