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Finding the Fourth Proportional to 100.05, 150.65 and 74.55

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Solution

The fourth proportional to 100.05, 150.65 and 74.55 is: 112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.05 : 150.65 = 74.55 : x
  2. Step 2: Convert to fraction form
    100.05/150.65 = 74.55/x
  3. Step 3: Cross multiply
    100.05x = 150.65 × 74.55
  4. Step 4: Simplify right side
    100.05x = 11,230.96
  5. Step 5: Solve for x
    x = 11,230.96/100.05
  6. Step 6: Final answer
    x = 112.25

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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.