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Finding the Fourth Proportional to 142.29, 196.25 and 100.98

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Solution

The fourth proportional to 142.29, 196.25 and 100.98 is: 139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.29 : 196.25 = 100.98 : x
  2. Step 2: Convert to fraction form
    142.29/196.25 = 100.98/x
  3. Step 3: Cross multiply
    142.29x = 196.25 × 100.98
  4. Step 4: Simplify right side
    142.29x = 19,816.82
  5. Step 5: Solve for x
    x = 19,816.82/142.29
  6. Step 6: Final answer
    x = 139.27

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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.