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Finding the Fourth Proportional to 136.20, 205.20 and 117.30

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Solution

The fourth proportional to 136.20, 205.20 and 117.30 is: 176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.20 : 205.20 = 117.30 : x
  2. Step 2: Convert to fraction form
    136.20/205.20 = 117.30/x
  3. Step 3: Cross multiply
    136.20x = 205.20 × 117.30
  4. Step 4: Simplify right side
    136.20x = 24,069.96
  5. Step 5: Solve for x
    x = 24,069.96/136.20
  6. Step 6: Final answer
    x = 176.73

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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.