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Finding the Fourth Proportional to 102.82, 153.47 and 94.27

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Solution

The fourth proportional to 102.82, 153.47 and 94.27 is: 140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 153.47 = 94.27 : x
  2. Step 2: Convert to fraction form
    102.82/153.47 = 94.27/x
  3. Step 3: Cross multiply
    102.82x = 153.47 × 94.27
  4. Step 4: Simplify right side
    102.82x = 14,467.62
  5. Step 5: Solve for x
    x = 14,467.62/102.82
  6. Step 6: Final answer
    x = 140.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.