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Finding the Fourth Proportional to 306.85, 460.38 and 142.39

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Solution

The fourth proportional to 306.85, 460.38 and 142.39 is: 213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.85 : 460.38 = 142.39 : x
  2. Step 2: Convert to fraction form
    306.85/460.38 = 142.39/x
  3. Step 3: Cross multiply
    306.85x = 460.38 × 142.39
  4. Step 4: Simplify right side
    306.85x = 65,554.66
  5. Step 5: Solve for x
    x = 65,554.66/306.85
  6. Step 6: Final answer
    x = 213.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.