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Finding the Fourth Proportional to 158.05, 217.78 and 154.15

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Solution

The fourth proportional to 158.05, 217.78 and 154.15 is: 212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.05 : 217.78 = 154.15 : x
  2. Step 2: Convert to fraction form
    158.05/217.78 = 154.15/x
  3. Step 3: Cross multiply
    158.05x = 217.78 × 154.15
  4. Step 4: Simplify right side
    158.05x = 33,570.79
  5. Step 5: Solve for x
    x = 33,570.79/158.05
  6. Step 6: Final answer
    x = 212.41

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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.