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Finding the Fourth Proportional to 100, 149.89 and 94.95

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Solution

The fourth proportional to 100, 149.89 and 94.95 is: 142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 149.89 = 94.95 : x
  2. Step 2: Convert to fraction form
    100/149.89 = 94.95/x
  3. Step 3: Cross multiply
    100x = 149.89 × 94.95
  4. Step 4: Simplify right side
    100x = 14,232.06
  5. Step 5: Solve for x
    x = 14,232.06/100
  6. Step 6: Final answer
    x = 142.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.