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Finding the Fourth Proportional to 142, 196 and 94.80

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Solution

The fourth proportional to 142, 196 and 94.80 is: 130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 196 = 94.80 : x
  2. Step 2: Convert to fraction form
    142/196 = 94.80/x
  3. Step 3: Cross multiply
    142x = 196 × 94.80
  4. Step 4: Simplify right side
    142x = 18,580.80
  5. Step 5: Solve for x
    x = 18,580.80/142
  6. Step 6: Final answer
    x = 130.85

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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.