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Finding the Fourth Proportional to 150.10, 223.89 and 136.84

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Solution

The fourth proportional to 150.10, 223.89 and 136.84 is: 204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.10 : 223.89 = 136.84 : x
  2. Step 2: Convert to fraction form
    150.10/223.89 = 136.84/x
  3. Step 3: Cross multiply
    150.10x = 223.89 × 136.84
  4. Step 4: Simplify right side
    150.10x = 30,636.84
  5. Step 5: Solve for x
    x = 30,636.84/150.10
  6. Step 6: Final answer
    x = 204.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.