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Finding the Fourth Proportional to 142.00, 196.07 and 100.64

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Solution

The fourth proportional to 142.00, 196.07 and 100.64 is: 138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.00 : 196.07 = 100.64 : x
  2. Step 2: Convert to fraction form
    142.00/196.07 = 100.64/x
  3. Step 3: Cross multiply
    142.00x = 196.07 × 100.64
  4. Step 4: Simplify right side
    142.00x = 19,732.47
  5. Step 5: Solve for x
    x = 19,732.47/142.00
  6. Step 6: Final answer
    x = 138.96

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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.