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Finding the Fourth Proportional to 166.30, 225.23 and 166.30

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Solution

The fourth proportional to 166.30, 225.23 and 166.30 is: 225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.30 : 225.23 = 166.30 : x
  2. Step 2: Convert to fraction form
    166.30/225.23 = 166.30/x
  3. Step 3: Cross multiply
    166.30x = 225.23 × 166.30
  4. Step 4: Simplify right side
    166.30x = 37,455.75
  5. Step 5: Solve for x
    x = 37,455.75/166.30
  6. Step 6: Final answer
    x = 225.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.