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Finding the Fourth Proportional to 106.24, 159.18 and 100.36

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Solution

The fourth proportional to 106.24, 159.18 and 100.36 is: 150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.24 : 159.18 = 100.36 : x
  2. Step 2: Convert to fraction form
    106.24/159.18 = 100.36/x
  3. Step 3: Cross multiply
    106.24x = 159.18 × 100.36
  4. Step 4: Simplify right side
    106.24x = 15,975.30
  5. Step 5: Solve for x
    x = 15,975.30/106.24
  6. Step 6: Final answer
    x = 150.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.