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Finding the Fourth Proportional to 154.43, 212.74 and 126.63

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Solution

The fourth proportional to 154.43, 212.74 and 126.63 is: 174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.43 : 212.74 = 126.63 : x
  2. Step 2: Convert to fraction form
    154.43/212.74 = 126.63/x
  3. Step 3: Cross multiply
    154.43x = 212.74 × 126.63
  4. Step 4: Simplify right side
    154.43x = 26,938.63
  5. Step 5: Solve for x
    x = 26,938.63/154.43
  6. Step 6: Final answer
    x = 174.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.