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Finding the Fourth Proportional to 450.31, 675.84 and 231.10

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Solution

The fourth proportional to 450.31, 675.84 and 231.10 is: 346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.31 : 675.84 = 231.10 : x
  2. Step 2: Convert to fraction form
    450.31/675.84 = 231.10/x
  3. Step 3: Cross multiply
    450.31x = 675.84 × 231.10
  4. Step 4: Simplify right side
    450.31x = 156,186.62
  5. Step 5: Solve for x
    x = 156,186.62/450.31
  6. Step 6: Final answer
    x = 346.84

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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.