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Finding the Fourth Proportional to 245.97, 339.42 and 135.43

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Solution

The fourth proportional to 245.97, 339.42 and 135.43 is: 186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.97 : 339.42 = 135.43 : x
  2. Step 2: Convert to fraction form
    245.97/339.42 = 135.43/x
  3. Step 3: Cross multiply
    245.97x = 339.42 × 135.43
  4. Step 4: Simplify right side
    245.97x = 45,967.14
  5. Step 5: Solve for x
    x = 45,967.14/245.97
  6. Step 6: Final answer
    x = 186.88

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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.