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Finding the Fourth Proportional to 154.05, 229.96 and 153.69

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Solution

The fourth proportional to 154.05, 229.96 and 153.69 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.05 : 229.96 = 153.69 : x
  2. Step 2: Convert to fraction form
    154.05/229.96 = 153.69/x
  3. Step 3: Cross multiply
    154.05x = 229.96 × 153.69
  4. Step 4: Simplify right side
    154.05x = 35,342.17
  5. Step 5: Solve for x
    x = 35,342.17/154.05
  6. Step 6: Final answer
    x = 229.42

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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.