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Finding the Fourth Proportional to 409.30, 612.90 and 254.99

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Solution

The fourth proportional to 409.30, 612.90 and 254.99 is: 381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.30 : 612.90 = 254.99 : x
  2. Step 2: Convert to fraction form
    409.30/612.90 = 254.99/x
  3. Step 3: Cross multiply
    409.30x = 612.90 × 254.99
  4. Step 4: Simplify right side
    409.30x = 156,284.90
  5. Step 5: Solve for x
    x = 156,284.90/409.30
  6. Step 6: Final answer
    x = 381.84

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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.