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Finding the Fourth Proportional to 407.70, 611.64 and 164.25

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Solution

The fourth proportional to 407.70, 611.64 and 164.25 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 611.64 = 164.25 : x
  2. Step 2: Convert to fraction form
    407.70/611.64 = 164.25/x
  3. Step 3: Cross multiply
    407.70x = 611.64 × 164.25
  4. Step 4: Simplify right side
    407.70x = 100,461.87
  5. Step 5: Solve for x
    x = 100,461.87/407.70
  6. Step 6: Final answer
    x = 246.41

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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.