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Finding the Fourth Proportional to 154.05, 229.31 and 153.38

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Solution

The fourth proportional to 154.05, 229.31 and 153.38 is: 228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.05 : 229.31 = 153.38 : x
  2. Step 2: Convert to fraction form
    154.05/229.31 = 153.38/x
  3. Step 3: Cross multiply
    154.05x = 229.31 × 153.38
  4. Step 4: Simplify right side
    154.05x = 35,169.65
  5. Step 5: Solve for x
    x = 35,169.65/154.05
  6. Step 6: Final answer
    x = 228.30

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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.