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Finding the Fourth Proportional to 406.91, 610.43 and 133.01

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Solution

The fourth proportional to 406.91, 610.43 and 133.01 is: 199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.91 : 610.43 = 133.01 : x
  2. Step 2: Convert to fraction form
    406.91/610.43 = 133.01/x
  3. Step 3: Cross multiply
    406.91x = 610.43 × 133.01
  4. Step 4: Simplify right side
    406.91x = 81,189.58
  5. Step 5: Solve for x
    x = 81,189.58/406.91
  6. Step 6: Final answer
    x = 199.53

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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.