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Finding the Fourth Proportional to 154.19, 212.41 and 129.62

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Solution

The fourth proportional to 154.19, 212.41 and 129.62 is: 178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.19 : 212.41 = 129.62 : x
  2. Step 2: Convert to fraction form
    154.19/212.41 = 129.62/x
  3. Step 3: Cross multiply
    154.19x = 212.41 × 129.62
  4. Step 4: Simplify right side
    154.19x = 27,532.58
  5. Step 5: Solve for x
    x = 27,532.58/154.19
  6. Step 6: Final answer
    x = 178.56

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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.