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Finding the Fourth Proportional to 142.59, 196.78 and 84.38

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Solution

The fourth proportional to 142.59, 196.78 and 84.38 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.59 : 196.78 = 84.38 : x
  2. Step 2: Convert to fraction form
    142.59/196.78 = 84.38/x
  3. Step 3: Cross multiply
    142.59x = 196.78 × 84.38
  4. Step 4: Simplify right side
    142.59x = 16,603.26
  5. Step 5: Solve for x
    x = 16,603.26/142.59
  6. Step 6: Final answer
    x = 116.44

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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.