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Finding the Fourth Proportional to 142.11, 196.01 and 130.49

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Solution

The fourth proportional to 142.11, 196.01 and 130.49 is: 179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.11 : 196.01 = 130.49 : x
  2. Step 2: Convert to fraction form
    142.11/196.01 = 130.49/x
  3. Step 3: Cross multiply
    142.11x = 196.01 × 130.49
  4. Step 4: Simplify right side
    142.11x = 25,577.34
  5. Step 5: Solve for x
    x = 25,577.34/142.11
  6. Step 6: Final answer
    x = 179.98

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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.