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Finding the Fourth Proportional to 136.52, 203.78 and 120.32

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Solution

The fourth proportional to 136.52, 203.78 and 120.32 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.52 : 203.78 = 120.32 : x
  2. Step 2: Convert to fraction form
    136.52/203.78 = 120.32/x
  3. Step 3: Cross multiply
    136.52x = 203.78 × 120.32
  4. Step 4: Simplify right side
    136.52x = 24,518.81
  5. Step 5: Solve for x
    x = 24,518.81/136.52
  6. Step 6: Final answer
    x = 179.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.