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Finding the Fourth Proportional to 136.46, 203.80 and 118.22

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Solution

The fourth proportional to 136.46, 203.80 and 118.22 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.46 : 203.80 = 118.22 : x
  2. Step 2: Convert to fraction form
    136.46/203.80 = 118.22/x
  3. Step 3: Cross multiply
    136.46x = 203.80 × 118.22
  4. Step 4: Simplify right side
    136.46x = 24,093.24
  5. Step 5: Solve for x
    x = 24,093.24/136.46
  6. Step 6: Final answer
    x = 176.56

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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.