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Finding the Fourth Proportional to 310.42, 428.43 and 179.46

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Solution

The fourth proportional to 310.42, 428.43 and 179.46 is: 247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.42 : 428.43 = 179.46 : x
  2. Step 2: Convert to fraction form
    310.42/428.43 = 179.46/x
  3. Step 3: Cross multiply
    310.42x = 428.43 × 179.46
  4. Step 4: Simplify right side
    310.42x = 76,886.05
  5. Step 5: Solve for x
    x = 76,886.05/310.42
  6. Step 6: Final answer
    x = 247.68

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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.