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Finding the Fourth Proportional to 142.20, 196 and 98.44

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Solution

The fourth proportional to 142.20, 196 and 98.44 is: 135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.20 : 196 = 98.44 : x
  2. Step 2: Convert to fraction form
    142.20/196 = 98.44/x
  3. Step 3: Cross multiply
    142.20x = 196 × 98.44
  4. Step 4: Simplify right side
    142.20x = 19,294.24
  5. Step 5: Solve for x
    x = 19,294.24/142.20
  6. Step 6: Final answer
    x = 135.68

Related Problems

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1.5x scale

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.