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Finding the Fourth Proportional to 445.10, 667.30 and 307.75

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Solution

The fourth proportional to 445.10, 667.30 and 307.75 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.10 : 667.30 = 307.75 : x
  2. Step 2: Convert to fraction form
    445.10/667.30 = 307.75/x
  3. Step 3: Cross multiply
    445.10x = 667.30 × 307.75
  4. Step 4: Simplify right side
    445.10x = 205,356.70
  5. Step 5: Solve for x
    x = 205,356.70/445.10
  6. Step 6: Final answer
    x = 461.37

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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.