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Finding the Fourth Proportional to 407.83, 611.90 and 164.43

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Solution

The fourth proportional to 407.83, 611.90 and 164.43 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.83 : 611.90 = 164.43 : x
  2. Step 2: Convert to fraction form
    407.83/611.90 = 164.43/x
  3. Step 3: Cross multiply
    407.83x = 611.90 × 164.43
  4. Step 4: Simplify right side
    407.83x = 100,610.84
  5. Step 5: Solve for x
    x = 100,610.84/407.83
  6. Step 6: Final answer
    x = 246.70

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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.