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Finding the Fourth Proportional to 136.45, 205.59 and 118.23

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Solution

The fourth proportional to 136.45, 205.59 and 118.23 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.45 : 205.59 = 118.23 : x
  2. Step 2: Convert to fraction form
    136.45/205.59 = 118.23/x
  3. Step 3: Cross multiply
    136.45x = 205.59 × 118.23
  4. Step 4: Simplify right side
    136.45x = 24,306.91
  5. Step 5: Solve for x
    x = 24,306.91/136.45
  6. Step 6: Final answer
    x = 178.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.