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Finding the Fourth Proportional to 135.50, 186.57 and 120.02

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Solution

The fourth proportional to 135.50, 186.57 and 120.02 is: 165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.50 : 186.57 = 120.02 : x
  2. Step 2: Convert to fraction form
    135.50/186.57 = 120.02/x
  3. Step 3: Cross multiply
    135.50x = 186.57 × 120.02
  4. Step 4: Simplify right side
    135.50x = 22,391.20
  5. Step 5: Solve for x
    x = 22,391.20/135.50
  6. Step 6: Final answer
    x = 165.25

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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.