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Finding the Fourth Proportional to 129.49, 194.93 and 99.43

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Solution

The fourth proportional to 129.49, 194.93 and 99.43 is: 149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.49 : 194.93 = 99.43 : x
  2. Step 2: Convert to fraction form
    129.49/194.93 = 99.43/x
  3. Step 3: Cross multiply
    129.49x = 194.93 × 99.43
  4. Step 4: Simplify right side
    129.49x = 19,381.39
  5. Step 5: Solve for x
    x = 19,381.39/129.49
  6. Step 6: Final answer
    x = 149.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.