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Finding the Fourth Proportional to 406.07, 609.01 and 174.85

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Solution

The fourth proportional to 406.07, 609.01 and 174.85 is: 262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 609.01 = 174.85 : x
  2. Step 2: Convert to fraction form
    406.07/609.01 = 174.85/x
  3. Step 3: Cross multiply
    406.07x = 609.01 × 174.85
  4. Step 4: Simplify right side
    406.07x = 106,485.40
  5. Step 5: Solve for x
    x = 106,485.40/406.07
  6. Step 6: Final answer
    x = 262.23

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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.