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Finding the Fourth Proportional to 154.45, 231.57 and 63.12

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Solution

The fourth proportional to 154.45, 231.57 and 63.12 is: 94.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.45 : 231.57 = 63.12 : x
  2. Step 2: Convert to fraction form
    154.45/231.57 = 63.12/x
  3. Step 3: Cross multiply
    154.45x = 231.57 × 63.12
  4. Step 4: Simplify right side
    154.45x = 14,616.70
  5. Step 5: Solve for x
    x = 14,616.70/154.45
  6. Step 6: Final answer
    x = 94.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.