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Finding the Fourth Proportional to 409.56, 612.72 and 281.04

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Solution

The fourth proportional to 409.56, 612.72 and 281.04 is: 420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 612.72 = 281.04 : x
  2. Step 2: Convert to fraction form
    409.56/612.72 = 281.04/x
  3. Step 3: Cross multiply
    409.56x = 612.72 × 281.04
  4. Step 4: Simplify right side
    409.56x = 172,198.83
  5. Step 5: Solve for x
    x = 172,198.83/409.56
  6. Step 6: Final answer
    x = 420.45

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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.