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Finding the Fourth Proportional to 114.76, 158.78 and 100.22

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Solution

The fourth proportional to 114.76, 158.78 and 100.22 is: 138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.76 : 158.78 = 100.22 : x
  2. Step 2: Convert to fraction form
    114.76/158.78 = 100.22/x
  3. Step 3: Cross multiply
    114.76x = 158.78 × 100.22
  4. Step 4: Simplify right side
    114.76x = 15,912.93
  5. Step 5: Solve for x
    x = 15,912.93/114.76
  6. Step 6: Final answer
    x = 138.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.