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Finding the Fourth Proportional to 148.63, 206.16 and 144.67

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Solution

The fourth proportional to 148.63, 206.16 and 144.67 is: 200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.63 : 206.16 = 144.67 : x
  2. Step 2: Convert to fraction form
    148.63/206.16 = 144.67/x
  3. Step 3: Cross multiply
    148.63x = 206.16 × 144.67
  4. Step 4: Simplify right side
    148.63x = 29,825.53
  5. Step 5: Solve for x
    x = 29,825.53/148.63
  6. Step 6: Final answer
    x = 200.67

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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.