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Finding the Fourth Proportional to 149.96, 205.30 and 148.04

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Solution

The fourth proportional to 149.96, 205.30 and 148.04 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.96 : 205.30 = 148.04 : x
  2. Step 2: Convert to fraction form
    149.96/205.30 = 148.04/x
  3. Step 3: Cross multiply
    149.96x = 205.30 × 148.04
  4. Step 4: Simplify right side
    149.96x = 30,392.61
  5. Step 5: Solve for x
    x = 30,392.61/149.96
  6. Step 6: Final answer
    x = 202.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.