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Finding the Fourth Proportional to 148.90, 206.53 and 143.71

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Solution

The fourth proportional to 148.90, 206.53 and 143.71 is: 199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.90 : 206.53 = 143.71 : x
  2. Step 2: Convert to fraction form
    148.90/206.53 = 143.71/x
  3. Step 3: Cross multiply
    148.90x = 206.53 × 143.71
  4. Step 4: Simplify right side
    148.90x = 29,680.43
  5. Step 5: Solve for x
    x = 29,680.43/148.90
  6. Step 6: Final answer
    x = 199.33

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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.