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Finding the Fourth Proportional to 101.08, 150.74 and 100.17

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Solution

The fourth proportional to 101.08, 150.74 and 100.17 is: 149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.08 : 150.74 = 100.17 : x
  2. Step 2: Convert to fraction form
    101.08/150.74 = 100.17/x
  3. Step 3: Cross multiply
    101.08x = 150.74 × 100.17
  4. Step 4: Simplify right side
    101.08x = 15,099.12
  5. Step 5: Solve for x
    x = 15,099.12/101.08
  6. Step 6: Final answer
    x = 149.38

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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.