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Finding the Fourth Proportional to 105.26, 158.69 and 99.68

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Solution

The fourth proportional to 105.26, 158.69 and 99.68 is: 150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.26 : 158.69 = 99.68 : x
  2. Step 2: Convert to fraction form
    105.26/158.69 = 99.68/x
  3. Step 3: Cross multiply
    105.26x = 158.69 × 99.68
  4. Step 4: Simplify right side
    105.26x = 15,818.22
  5. Step 5: Solve for x
    x = 15,818.22/105.26
  6. Step 6: Final answer
    x = 150.28

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Why These Related Problems?

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