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Finding the Fourth Proportional to 154.51, 231.69 and 85.96

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Solution

The fourth proportional to 154.51, 231.69 and 85.96 is: 128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.51 : 231.69 = 85.96 : x
  2. Step 2: Convert to fraction form
    154.51/231.69 = 85.96/x
  3. Step 3: Cross multiply
    154.51x = 231.69 × 85.96
  4. Step 4: Simplify right side
    154.51x = 19,916.68
  5. Step 5: Solve for x
    x = 19,916.68/154.51
  6. Step 6: Final answer
    x = 128.90

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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.