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Finding the Fourth Proportional to 406.40, 609.60 and 117.86

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Solution

The fourth proportional to 406.40, 609.60 and 117.86 is: 176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.40 : 609.60 = 117.86 : x
  2. Step 2: Convert to fraction form
    406.40/609.60 = 117.86/x
  3. Step 3: Cross multiply
    406.40x = 609.60 × 117.86
  4. Step 4: Simplify right side
    406.40x = 71,847.46
  5. Step 5: Solve for x
    x = 71,847.46/406.40
  6. Step 6: Final answer
    x = 176.79

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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.