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Finding the Fourth Proportional to 142.30, 196.37 and 100.35

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Solution

The fourth proportional to 142.30, 196.37 and 100.35 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.30 : 196.37 = 100.35 : x
  2. Step 2: Convert to fraction form
    142.30/196.37 = 100.35/x
  3. Step 3: Cross multiply
    142.30x = 196.37 × 100.35
  4. Step 4: Simplify right side
    142.30x = 19,705.73
  5. Step 5: Solve for x
    x = 19,705.73/142.30
  6. Step 6: Final answer
    x = 138.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.