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Finding the Fourth Proportional to 245.63, 338.97 and 142.13

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Solution

The fourth proportional to 245.63, 338.97 and 142.13 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.63 : 338.97 = 142.13 : x
  2. Step 2: Convert to fraction form
    245.63/338.97 = 142.13/x
  3. Step 3: Cross multiply
    245.63x = 338.97 × 142.13
  4. Step 4: Simplify right side
    245.63x = 48,177.81
  5. Step 5: Solve for x
    x = 48,177.81/245.63
  6. Step 6: Final answer
    x = 196.14

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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.