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Finding the Fourth Proportional to 306.86, 460.48 and 142.28

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Solution

The fourth proportional to 306.86, 460.48 and 142.28 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.86 : 460.48 = 142.28 : x
  2. Step 2: Convert to fraction form
    306.86/460.48 = 142.28/x
  3. Step 3: Cross multiply
    306.86x = 460.48 × 142.28
  4. Step 4: Simplify right side
    306.86x = 65,517.09
  5. Step 5: Solve for x
    x = 65,517.09/306.86
  6. Step 6: Final answer
    x = 213.51

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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.