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Finding the Fourth Proportional to 158.73, 218.99 and 96.55

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Solution

The fourth proportional to 158.73, 218.99 and 96.55 is: 133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.73 : 218.99 = 96.55 : x
  2. Step 2: Convert to fraction form
    158.73/218.99 = 96.55/x
  3. Step 3: Cross multiply
    158.73x = 218.99 × 96.55
  4. Step 4: Simplify right side
    158.73x = 21,143.87
  5. Step 5: Solve for x
    x = 21,143.87/158.73
  6. Step 6: Final answer
    x = 133.20

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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.