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Finding the Fourth Proportional to 154.46, 212.02 and 140.56

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Solution

The fourth proportional to 154.46, 212.02 and 140.56 is: 192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.46 : 212.02 = 140.56 : x
  2. Step 2: Convert to fraction form
    154.46/212.02 = 140.56/x
  3. Step 3: Cross multiply
    154.46x = 212.02 × 140.56
  4. Step 4: Simplify right side
    154.46x = 29,801.25
  5. Step 5: Solve for x
    x = 29,801.25/154.46
  6. Step 6: Final answer
    x = 192.94

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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.