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Finding the Fourth Proportional to 106.19, 158.21 and 101.03

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Solution

The fourth proportional to 106.19, 158.21 and 101.03 is: 150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.19 : 158.21 = 101.03 : x
  2. Step 2: Convert to fraction form
    106.19/158.21 = 101.03/x
  3. Step 3: Cross multiply
    106.19x = 158.21 × 101.03
  4. Step 4: Simplify right side
    106.19x = 15,982.66
  5. Step 5: Solve for x
    x = 15,982.66/106.19
  6. Step 6: Final answer
    x = 150.52

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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.