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Finding the Fourth Proportional to 136.20, 205.21 and 117.98

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Solution

The fourth proportional to 136.20, 205.21 and 117.98 is: 177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.20 : 205.21 = 117.98 : x
  2. Step 2: Convert to fraction form
    136.20/205.21 = 117.98/x
  3. Step 3: Cross multiply
    136.20x = 205.21 × 117.98
  4. Step 4: Simplify right side
    136.20x = 24,209.35
  5. Step 5: Solve for x
    x = 24,209.35/136.20
  6. Step 6: Final answer
    x = 177.75

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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.