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Finding the Fourth Proportional to 443.05, 664.65 and 134.90

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Solution

The fourth proportional to 443.05, 664.65 and 134.90 is: 202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.05 : 664.65 = 134.90 : x
  2. Step 2: Convert to fraction form
    443.05/664.65 = 134.90/x
  3. Step 3: Cross multiply
    443.05x = 664.65 × 134.90
  4. Step 4: Simplify right side
    443.05x = 89,661.29
  5. Step 5: Solve for x
    x = 89,661.29/443.05
  6. Step 6: Final answer
    x = 202.37

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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.