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Finding the Fourth Proportional to 306.25, 422.57 and 173.45

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Solution

The fourth proportional to 306.25, 422.57 and 173.45 is: 239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.25 : 422.57 = 173.45 : x
  2. Step 2: Convert to fraction form
    306.25/422.57 = 173.45/x
  3. Step 3: Cross multiply
    306.25x = 422.57 × 173.45
  4. Step 4: Simplify right side
    306.25x = 73,294.77
  5. Step 5: Solve for x
    x = 73,294.77/306.25
  6. Step 6: Final answer
    x = 239.33

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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.