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Finding the Fourth Proportional to 306.98, 423.63 and 167.09

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Solution

The fourth proportional to 306.98, 423.63 and 167.09 is: 230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.98 : 423.63 = 167.09 : x
  2. Step 2: Convert to fraction form
    306.98/423.63 = 167.09/x
  3. Step 3: Cross multiply
    306.98x = 423.63 × 167.09
  4. Step 4: Simplify right side
    306.98x = 70,785.40
  5. Step 5: Solve for x
    x = 70,785.40/306.98
  6. Step 6: Final answer
    x = 230.59

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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.