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Finding the Fourth Proportional to 154.43, 231.36 and 96.50

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Solution

The fourth proportional to 154.43, 231.36 and 96.50 is: 144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.43 : 231.36 = 96.50 : x
  2. Step 2: Convert to fraction form
    154.43/231.36 = 96.50/x
  3. Step 3: Cross multiply
    154.43x = 231.36 × 96.50
  4. Step 4: Simplify right side
    154.43x = 22,326.24
  5. Step 5: Solve for x
    x = 22,326.24/154.43
  6. Step 6: Final answer
    x = 144.57

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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.