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Finding the Fourth Proportional to 158.86, 218.70 and 142.46

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Solution

The fourth proportional to 158.86, 218.70 and 142.46 is: 196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.86 : 218.70 = 142.46 : x
  2. Step 2: Convert to fraction form
    158.86/218.70 = 142.46/x
  3. Step 3: Cross multiply
    158.86x = 218.70 × 142.46
  4. Step 4: Simplify right side
    158.86x = 31,155.73
  5. Step 5: Solve for x
    x = 31,155.73/158.86
  6. Step 6: Final answer
    x = 196.12

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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.