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Finding the Fourth Proportional to 136.65, 205.02 and 91.08

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Solution

The fourth proportional to 136.65, 205.02 and 91.08 is: 136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.65 : 205.02 = 91.08 : x
  2. Step 2: Convert to fraction form
    136.65/205.02 = 91.08/x
  3. Step 3: Cross multiply
    136.65x = 205.02 × 91.08
  4. Step 4: Simplify right side
    136.65x = 18,673.22
  5. Step 5: Solve for x
    x = 18,673.22/136.65
  6. Step 6: Final answer
    x = 136.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.