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Finding the Fourth Proportional to 431.08, 645.42 and 276.76

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Solution

The fourth proportional to 431.08, 645.42 and 276.76 is: 414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.08 : 645.42 = 276.76 : x
  2. Step 2: Convert to fraction form
    431.08/645.42 = 276.76/x
  3. Step 3: Cross multiply
    431.08x = 645.42 × 276.76
  4. Step 4: Simplify right side
    431.08x = 178,626.44
  5. Step 5: Solve for x
    x = 178,626.44/431.08
  6. Step 6: Final answer
    x = 414.37

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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.