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Finding the Fourth Proportional to 155.64, 231.57 and 154.47

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Solution

The fourth proportional to 155.64, 231.57 and 154.47 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.64 : 231.57 = 154.47 : x
  2. Step 2: Convert to fraction form
    155.64/231.57 = 154.47/x
  3. Step 3: Cross multiply
    155.64x = 231.57 × 154.47
  4. Step 4: Simplify right side
    155.64x = 35,770.62
  5. Step 5: Solve for x
    x = 35,770.62/155.64
  6. Step 6: Final answer
    x = 229.83

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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.