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Finding the Fourth Proportional to 306.57, 423.07 and 166.69

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Solution

The fourth proportional to 306.57, 423.07 and 166.69 is: 230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.57 : 423.07 = 166.69 : x
  2. Step 2: Convert to fraction form
    306.57/423.07 = 166.69/x
  3. Step 3: Cross multiply
    306.57x = 423.07 × 166.69
  4. Step 4: Simplify right side
    306.57x = 70,520.70
  5. Step 5: Solve for x
    x = 70,520.70/306.57
  6. Step 6: Final answer
    x = 230.03

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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.