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Finding the Fourth Proportional to 136.10, 190.30 and 136.10

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Solution

The fourth proportional to 136.10, 190.30 and 136.10 is: 190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.10 : 190.30 = 136.10 : x
  2. Step 2: Convert to fraction form
    136.10/190.30 = 136.10/x
  3. Step 3: Cross multiply
    136.10x = 190.30 × 136.10
  4. Step 4: Simplify right side
    136.10x = 25,899.83
  5. Step 5: Solve for x
    x = 25,899.83/136.10
  6. Step 6: Final answer
    x = 190.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.