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Finding the Fourth Proportional to 407.56, 610.89 and 164.02

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Solution

The fourth proportional to 407.56, 610.89 and 164.02 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.56 : 610.89 = 164.02 : x
  2. Step 2: Convert to fraction form
    407.56/610.89 = 164.02/x
  3. Step 3: Cross multiply
    407.56x = 610.89 × 164.02
  4. Step 4: Simplify right side
    407.56x = 100,198.18
  5. Step 5: Solve for x
    x = 100,198.18/407.56
  6. Step 6: Final answer
    x = 245.85

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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.