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Finding the Fourth Proportional to 100.25, 150.43 and 52.19

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Solution

The fourth proportional to 100.25, 150.43 and 52.19 is: 78.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.25 : 150.43 = 52.19 : x
  2. Step 2: Convert to fraction form
    100.25/150.43 = 52.19/x
  3. Step 3: Cross multiply
    100.25x = 150.43 × 52.19
  4. Step 4: Simplify right side
    100.25x = 7,850.94
  5. Step 5: Solve for x
    x = 7,850.94/100.25
  6. Step 6: Final answer
    x = 78.31

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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.