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Finding the Fourth Proportional to 154.40, 231.90 and 96.72

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Solution

The fourth proportional to 154.40, 231.90 and 96.72 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.40 : 231.90 = 96.72 : x
  2. Step 2: Convert to fraction form
    154.40/231.90 = 96.72/x
  3. Step 3: Cross multiply
    154.40x = 231.90 × 96.72
  4. Step 4: Simplify right side
    154.40x = 22,429.37
  5. Step 5: Solve for x
    x = 22,429.37/154.40
  6. Step 6: Final answer
    x = 145.27

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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.