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Finding the Fourth Proportional to 406.72, 610.14 and 146.64

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Solution

The fourth proportional to 406.72, 610.14 and 146.64 is: 219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 610.14 = 146.64 : x
  2. Step 2: Convert to fraction form
    406.72/610.14 = 146.64/x
  3. Step 3: Cross multiply
    406.72x = 610.14 × 146.64
  4. Step 4: Simplify right side
    406.72x = 89,470.93
  5. Step 5: Solve for x
    x = 89,470.93/406.72
  6. Step 6: Final answer
    x = 219.98

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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.