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Finding the Fourth Proportional to 450.85, 675.19 and 306.13

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Solution

The fourth proportional to 450.85, 675.19 and 306.13 is: 458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.85 : 675.19 = 306.13 : x
  2. Step 2: Convert to fraction form
    450.85/675.19 = 306.13/x
  3. Step 3: Cross multiply
    450.85x = 675.19 × 306.13
  4. Step 4: Simplify right side
    450.85x = 206,695.91
  5. Step 5: Solve for x
    x = 206,695.91/450.85
  6. Step 6: Final answer
    x = 458.46

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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.