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Finding the Fourth Proportional to 406.18, 609.42 and 146.22

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Solution

The fourth proportional to 406.18, 609.42 and 146.22 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.18 : 609.42 = 146.22 : x
  2. Step 2: Convert to fraction form
    406.18/609.42 = 146.22/x
  3. Step 3: Cross multiply
    406.18x = 609.42 × 146.22
  4. Step 4: Simplify right side
    406.18x = 89,109.39
  5. Step 5: Solve for x
    x = 89,109.39/406.18
  6. Step 6: Final answer
    x = 219.38

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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.