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Finding the Fourth Proportional to 129.98, 194.01 and 99.41

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Solution

The fourth proportional to 129.98, 194.01 and 99.41 is: 148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.98 : 194.01 = 99.41 : x
  2. Step 2: Convert to fraction form
    129.98/194.01 = 99.41/x
  3. Step 3: Cross multiply
    129.98x = 194.01 × 99.41
  4. Step 4: Simplify right side
    129.98x = 19,285.19
  5. Step 5: Solve for x
    x = 19,285.19/129.98
  6. Step 6: Final answer
    x = 148.37

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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.