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Finding the Fourth Proportional to 146.92, 202.55 and 120.59

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Solution

The fourth proportional to 146.92, 202.55 and 120.59 is: 166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.92 : 202.55 = 120.59 : x
  2. Step 2: Convert to fraction form
    146.92/202.55 = 120.59/x
  3. Step 3: Cross multiply
    146.92x = 202.55 × 120.59
  4. Step 4: Simplify right side
    146.92x = 24,425.50
  5. Step 5: Solve for x
    x = 24,425.50/146.92
  6. Step 6: Final answer
    x = 166.25

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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.