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Finding the Fourth Proportional to 149.64, 223.40 and 136.66

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Solution

The fourth proportional to 149.64, 223.40 and 136.66 is: 204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.64 : 223.40 = 136.66 : x
  2. Step 2: Convert to fraction form
    149.64/223.40 = 136.66/x
  3. Step 3: Cross multiply
    149.64x = 223.40 × 136.66
  4. Step 4: Simplify right side
    149.64x = 30,529.84
  5. Step 5: Solve for x
    x = 30,529.84/149.64
  6. Step 6: Final answer
    x = 204.02

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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.