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Finding the Fourth Proportional to 158.08, 217.95 and 120.73

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Solution

The fourth proportional to 158.08, 217.95 and 120.73 is: 166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.08 : 217.95 = 120.73 : x
  2. Step 2: Convert to fraction form
    158.08/217.95 = 120.73/x
  3. Step 3: Cross multiply
    158.08x = 217.95 × 120.73
  4. Step 4: Simplify right side
    158.08x = 26,313.10
  5. Step 5: Solve for x
    x = 26,313.10/158.08
  6. Step 6: Final answer
    x = 166.45

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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.