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Finding the Fourth Proportional to 310.83, 466.21 and 115.82

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Solution

The fourth proportional to 310.83, 466.21 and 115.82 is: 173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.83 : 466.21 = 115.82 : x
  2. Step 2: Convert to fraction form
    310.83/466.21 = 115.82/x
  3. Step 3: Cross multiply
    310.83x = 466.21 × 115.82
  4. Step 4: Simplify right side
    310.83x = 53,996.44
  5. Step 5: Solve for x
    x = 53,996.44/310.83
  6. Step 6: Final answer
    x = 173.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.