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Finding the Fourth Proportional to 100, 148.94 and 94.88

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Solution

The fourth proportional to 100, 148.94 and 94.88 is: 141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 148.94 = 94.88 : x
  2. Step 2: Convert to fraction form
    100/148.94 = 94.88/x
  3. Step 3: Cross multiply
    100x = 148.94 × 94.88
  4. Step 4: Simplify right side
    100x = 14,131.43
  5. Step 5: Solve for x
    x = 14,131.43/100
  6. Step 6: Final answer
    x = 141.31

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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.