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Finding the Fourth Proportional to 406.08, 607.94 and 251.54

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Solution

The fourth proportional to 406.08, 607.94 and 251.54 is: 376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.08 : 607.94 = 251.54 : x
  2. Step 2: Convert to fraction form
    406.08/607.94 = 251.54/x
  3. Step 3: Cross multiply
    406.08x = 607.94 × 251.54
  4. Step 4: Simplify right side
    406.08x = 152,921.23
  5. Step 5: Solve for x
    x = 152,921.23/406.08
  6. Step 6: Final answer
    x = 376.58

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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.