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Finding the Fourth Proportional to 452.37, 680.60 and 269.90

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Solution

The fourth proportional to 452.37, 680.60 and 269.90 is: 406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.37 : 680.60 = 269.90 : x
  2. Step 2: Convert to fraction form
    452.37/680.60 = 269.90/x
  3. Step 3: Cross multiply
    452.37x = 680.60 × 269.90
  4. Step 4: Simplify right side
    452.37x = 183,691.21
  5. Step 5: Solve for x
    x = 183,691.21/452.37
  6. Step 6: Final answer
    x = 406.06

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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.