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Finding the Fourth Proportional to 114.45, 170.83 and 100.78

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Solution

The fourth proportional to 114.45, 170.83 and 100.78 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.45 : 170.83 = 100.78 : x
  2. Step 2: Convert to fraction form
    114.45/170.83 = 100.78/x
  3. Step 3: Cross multiply
    114.45x = 170.83 × 100.78
  4. Step 4: Simplify right side
    114.45x = 17,216.25
  5. Step 5: Solve for x
    x = 17,216.25/114.45
  6. Step 6: Final answer
    x = 150.43

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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.