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Finding the Fourth Proportional to 149.12, 206.66 and 146.24

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Solution

The fourth proportional to 149.12, 206.66 and 146.24 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.12 : 206.66 = 146.24 : x
  2. Step 2: Convert to fraction form
    149.12/206.66 = 146.24/x
  3. Step 3: Cross multiply
    149.12x = 206.66 × 146.24
  4. Step 4: Simplify right side
    149.12x = 30,221.96
  5. Step 5: Solve for x
    x = 30,221.96/149.12
  6. Step 6: Final answer
    x = 202.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.