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Finding the Fourth Proportional to 142.94, 196.80 and 99.20

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Solution

The fourth proportional to 142.94, 196.80 and 99.20 is: 136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 196.80 = 99.20 : x
  2. Step 2: Convert to fraction form
    142.94/196.80 = 99.20/x
  3. Step 3: Cross multiply
    142.94x = 196.80 × 99.20
  4. Step 4: Simplify right side
    142.94x = 19,522.56
  5. Step 5: Solve for x
    x = 19,522.56/142.94
  6. Step 6: Final answer
    x = 136.58

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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.