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Finding the Fourth Proportional to 452.30, 677.94 and 269.36

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Solution

The fourth proportional to 452.30, 677.94 and 269.36 is: 403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 677.94 = 269.36 : x
  2. Step 2: Convert to fraction form
    452.30/677.94 = 269.36/x
  3. Step 3: Cross multiply
    452.30x = 677.94 × 269.36
  4. Step 4: Simplify right side
    452.30x = 182,609.92
  5. Step 5: Solve for x
    x = 182,609.92/452.30
  6. Step 6: Final answer
    x = 403.74

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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.