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Finding the Fourth Proportional to 106.24, 158.44 and 100.24

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Solution

The fourth proportional to 106.24, 158.44 and 100.24 is: 149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.24 : 158.44 = 100.24 : x
  2. Step 2: Convert to fraction form
    106.24/158.44 = 100.24/x
  3. Step 3: Cross multiply
    106.24x = 158.44 × 100.24
  4. Step 4: Simplify right side
    106.24x = 15,882.03
  5. Step 5: Solve for x
    x = 15,882.03/106.24
  6. Step 6: Final answer
    x = 149.49

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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.