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Finding the Fourth Proportional to 135.96, 187.77 and 120.45

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Solution

The fourth proportional to 135.96, 187.77 and 120.45 is: 166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.96 : 187.77 = 120.45 : x
  2. Step 2: Convert to fraction form
    135.96/187.77 = 120.45/x
  3. Step 3: Cross multiply
    135.96x = 187.77 × 120.45
  4. Step 4: Simplify right side
    135.96x = 22,616.90
  5. Step 5: Solve for x
    x = 22,616.90/135.96
  6. Step 6: Final answer
    x = 166.35

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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.