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Finding the Fourth Proportional to 154.42, 212.97 and 102.76

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Solution

The fourth proportional to 154.42, 212.97 and 102.76 is: 141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.42 : 212.97 = 102.76 : x
  2. Step 2: Convert to fraction form
    154.42/212.97 = 102.76/x
  3. Step 3: Cross multiply
    154.42x = 212.97 × 102.76
  4. Step 4: Simplify right side
    154.42x = 21,884.80
  5. Step 5: Solve for x
    x = 21,884.80/154.42
  6. Step 6: Final answer
    x = 141.72

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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.