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Finding the Fourth Proportional to 166.21, 229.65 and 145.45

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Solution

The fourth proportional to 166.21, 229.65 and 145.45 is: 200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.21 : 229.65 = 145.45 : x
  2. Step 2: Convert to fraction form
    166.21/229.65 = 145.45/x
  3. Step 3: Cross multiply
    166.21x = 229.65 × 145.45
  4. Step 4: Simplify right side
    166.21x = 33,402.33
  5. Step 5: Solve for x
    x = 33,402.33/166.21
  6. Step 6: Final answer
    x = 200.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.