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Finding the Fourth Proportional to 142.42, 196.63 and 103.14

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Solution

The fourth proportional to 142.42, 196.63 and 103.14 is: 142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 196.63 = 103.14 : x
  2. Step 2: Convert to fraction form
    142.42/196.63 = 103.14/x
  3. Step 3: Cross multiply
    142.42x = 196.63 × 103.14
  4. Step 4: Simplify right side
    142.42x = 20,279.90
  5. Step 5: Solve for x
    x = 20,279.90/142.42
  6. Step 6: Final answer
    x = 142.40

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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.