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Finding the Fourth Proportional to 100.82, 150.40 and 94.62

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Solution

The fourth proportional to 100.82, 150.40 and 94.62 is: 141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.82 : 150.40 = 94.62 : x
  2. Step 2: Convert to fraction form
    100.82/150.40 = 94.62/x
  3. Step 3: Cross multiply
    100.82x = 150.40 × 94.62
  4. Step 4: Simplify right side
    100.82x = 14,230.85
  5. Step 5: Solve for x
    x = 14,230.85/100.82
  6. Step 6: Final answer
    x = 141.15

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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.